What is the inverse of the function f(x) = x +3?

h(x)=1/3x + 3
h(x)=1/3x - 3
h(x)= x - 3
h(x)= x + 3

Answers

Answer 1

Step-by-step explanation:

the inverse function simply calculate the original x it of a given y. so, we need to transform the original function to calculate x instead of y.

and then, at the end to make it a formally correct function definition, we rename x to y and y to x.

y = x + 3

x = y - 3

=> to make it a formally correct function definition

y = x - 3 = h(x)


Related Questions

If a baby weighs 7 lbs at birth and 12 Ibs after 20 weeks, how much did the baby weigh after 4 weeks, assuming linear growth? [?] lbs​

Answers

Answer: 8lbs

Step-by-step explanation:

The baby gained one pound

Assuming linear growth, the baby would weigh approximately 8 lbs after 4 weeks.

How to determine the weight of the baby

Assuming linear growth, we can use the concept of a slope to estimate the baby's weight after 4 weeks.

Given information:

Weight at birth (0 weeks): 7 lbs

Weight after 20 weeks: 12 lbs

We can calculate the rate of change (slope) of the baby's weight per week:

Slope = (Change in weight) / (Change in weeks)

Slope = (12 lbs - 7 lbs) / (20 weeks - 0 weeks)

Slope = 5 lbs / 20 weeks

Slope = 0.25 lbs/week

Now, using the slope, we can estimate the baby's weight after 4 weeks:

Estimated weight change = Slope * Number of weeks

Estimated weight change = 0.25 lbs/week * 4 weeks

Estimated weight change = 1 lb

So, the baby's weight after 4 weeks would be the initial weight (7 lbs) plus the estimated weight change (1 lb):

Estimated weight after 4 weeks = Initial weight + Estimated weight change

Estimated weight after 4 weeks = 7 lbs + 1 lb

Estimated weight after 4 weeks = 8 lbs

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bill and Andy were racing to see who could run the farthest in 5 minutes bill ran 5/8 of a mile and Andy ran 3/4 of a mile how much farther did andy run than bil​

Answers

Andy ran 1/8 of a mile more than bill
3/4 *2/2=6/8
6/8-5/8=1/8

Hugh is at the gym using an exercise bike. The bike counts each 1/4 mile as 1 lap.

If Hugh bikes 16 laps, how many miles does he bike?

Answers

The answer is 4 miles.


please someone answer with an explanation if possible!

Answers

Answer:

download gauth math and scan it and will give u the answer

Answer:

C

Step-by-step explanation:

The y intercept is where the line first crosses the y axis, so it would be positive 2. The slope is negative because it's diagonally going the left way, and its 3 because from one point to another it's 3 down and 1. The formula for a slope is rise/run, in this case it would be 3/1 which is 3.

$43.54 divided by 15.5 =

Answers

Answer:

2.01

Step-by-step explanation:

Ok,The answer is 2.8.

please help me with this sum​

Answers

answer:

1) 271

2) 151

3) 169

4) 62

5) 90

He’s right I checked every problem copying them!

What is the value of 5^3i^9?
A. -125i
B. -15i
C. 15i
D. 125i

Answers

Answer:

125i

Step-by-step explanation:

(5^3)(i^9)

=125(i^9)

=125i <-------????

Sorry not sure <:0

Paul paid $663 for a new freezer. He paid for the freezer with his credit card, which has an interest rate of 15.28% compounded monthly, and made monthly payments for five years until the freezer was paid off. He kept the freezer for seven years, and it used an average of $2.14 of electricity per week. Paul made no other purchases or payments with his credit card until the freezer was paid off. Between the interest and the electricity, which component of the lifetime cost of the freezer was greater, and how much greater was it? (Round all dollar values to the nearest cent.)
a.
The interest cost $106.60 more than the electricity.
b.
The interest cost $173.24 more than the electricity.
c.
The electricity cost $489.76 more than the interest.
d.
The electricity cost $115.96 more than the interest.

Answers

Answer:

c

Step-by-step explanation:

The electricity cost $489.76 more than the interest.

Thus, option C is correct.

What is Interest cost?

Interest cost is the total measure of interest a borrower pays on an obligation commitment over the existence of the getting. Interest is paid on the obligation notwithstanding reimbursement of head.

The formula will be:

I = A - P

I = 663(1 + 0.1528/12)^(5*12) - 663

I = 663(1 + 0.1528/12)^60- 663

I = 1416.51 - 663

I = $753.51

The bill for electricity for 7 years and 52 weeks per year  will be

= 7 x 52 x 2.14

= $778.96

The electricity cost is bigger than the interest:

$778.96 is bigger than $753.51 by $25.45:

$778.96 - $753.51 = $25.45.

Therefore, option C is correct.

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Solve for x. x 2 = 1 3 A) 6 B) 1 6 C) 2 3 D) 3 2

Answers

Answer:

The answer is not given in the options.

Step-by-step explanation:

2x = 13

or, 2x/2 = 13/2  (multiplying with (1/2) in both sides)

or, x = 13/2

or, x = 6.5

Evaluate.

(w2x−3)÷10⋅z when w=−4, x = 0.8, and z=−4/5

Enter your answer as a simplified mixed number in the box.

Answers

Answer:

⅘ ≈ 0,8

Step-by-step explanation:

(w2x - 3) ÷ 10 × z

= (-4 × 2 × 0,8) ÷ 10 × -⅘

= (-8 × 0,8) ÷ -8

= -6,4 ÷ -8

= ⅘ ≈ 0,8

Conclusion:

Evalute (w2x - 3) ÷ 10 × z is ⅘ ≈ 0,8.

[tex] [/tex]

After using the linear equations method we will get 1.76.


What is linear equations?
An equation is said to be linear if the highest power of a variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the standard form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the standard form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present. A linear equation is one that has a degree of 1 as its highest value. No variable in a linear equation, then, has an exponent greater than 1. A linear equation's graph will always be a straight line.

How to calculate question by adding their values in the given equation?

firstly, the given equation is: [w2x-3]/10z
the things or values which are given to us:
w=-4x=0.8z=-4.5
Now putting all the values in the given equation:
[-4*2*0.8-3]/10*-4.5-9.72/-5.5
[by solving the brackets]1.76 [by solving the equation]

Hence the answer is, 1.76

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Jack was seven years older than Pacella together their ages total 171 years. what will the ages

Answers

Answer:

164

Step-by-step explana

Answer:

82-Pacella

89-Jack

Step-by-step explanation:

x is Pacella

y is jack

y=7+x

x+y=171

Graphing these, they intersect at (82,89)

help
i dont understand this.

Answers

Answer:

4

Step-by-step explanation:

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

let's find the slope of the line :

that is :

[tex] \dfrac{y2 - y1}{x2 - x1}[/tex]

taking two points (0 , 4) and (2 , -4)

[tex] \dfrac{4 - ( - 4)}{0 - 2} [/tex]

[tex] \dfrac{8}{ - 2} [/tex]

[tex] - 4[/tex]

Slope (m) of the graph = -4

and y - intercept (c) = 4

therefore, the equation will be :

[tex]y = mx + c[/tex]

[tex]y = - 4x + 4[/tex]

Hi! ❤️ there looking for help on this giving brainliest if able to.

Answers

Answer:

true......................

The first two should be true and the second two should be false. I am sorry if I am incorrect but I am almost positive that is correct.

Hope this helps :)

3 Ganesa wanted to write numerical examples for the
inequality a table. One of the conditions cannot be met. Complete
the table. Indicate which condition cannot be met.
Be sure that
you
understand each
condition in the
table.
Condition
Numerical Example fora<6
a<0 and b a<0 and b>0
a> and b<0
a> and b>0
Lesson 13 Absolute Value and Ordering Numbers
Curriculum Associates, LLC Copying is not permitted.
Authorized for use by school personnel only. This resource expires on 6/30/2022.

Answers

The condition which cannot be met for the numerical example a < b is the third condition a > 0 and b < 0.

What are Inequalities?

Inequalities are expressions which are written on both sides separated by inequality symbols like <, >, ≤ and ≥.

The given numerical example is a < b.

When a > 0 and b < 0,

possible values of a are 1, 2, 3, ............

possible values of b are -1, -2, -3, .............

There is never a chance to get the positive values of a < negative values of b.

Hence the condition which is not met is a > 0 and b < 0.

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The complete question is :

Ganesa wanted to write numerical examples for the inequality a<b, with the conditions described In the table. One of the conditions cannot be met. Complete the table. Indicate which condition cannot be met.

Numerical Example for a < b

Conditions are :

a < 0 and b < 0

a < 0 and b > 0

a > 0 and b < 0

a > 0 and b > 0

6
Last year, a minor league baseball team
won 75 games. This year the team won
12 fewer games than it won last year.
What is the percent decrease in the
number of games the team won?
F 16%
H 12%
G 20%
J
63%

Answers

Answer:

Step-by-step explanation:

h 12

Percent decrease = 12/75
= 4/25
16% so F

ANSWER QUICK PLEASE!!
Which expression is undefined?
A. (10 - 10) / 10
B. 0 divided by 3/4
C. 3 / (7 - 7)
D. (-5 - 0) / 5

Answers

Answer:

c...........3/(7-7) is the undefined expression

c ! because the denominator is a 0.

Please answer all 3 questions. I need real answers. It should only take about 10 minutes. Real answers only, or I will report you.

Answers

Answer:

1.(x-7)(x+2)=x^2-7x+2x-14=x^2-5x+14

2.(x+5)(x-1)=x^2-x+5x-5=x^2+4x-5

3.-2(x+1)(x-2)=-2(x^2-2x+x-2)=-2(x^2-x-2)=-2x^2+2x+4

Please hurry 15 points

Answers

Answer:

pretty sure its A

Step-by-step explanation:

A is the only one with the line going threw -1 and 5

Answer: its A just got done with it

A box of pencils costs 7 dollars and a box of pens costs RM12. Ali paid 1 1 1 dollars to buy 3x boxes of pencils and y boxes of pens while Haris paid 11 dollars to buy x boxes of pencils and 2y boxes of pens. Find the values of x and y.
If answer right and explanation can let me understand I will give you brainliest and thanks

Answers

Answer:x =3   y=4

Step-by-step explanation:

3x +7 +127y =111

7x +12y-2y=117

21x +12y=111

7x +24y =117

35x =105

x=3

21 +24y=117

y =4

cos 2x + 2 sin^2 x = _______

Answers

1

Step-by-step explanation:

cos 2x + 2 sin²x

= (1 - 2 sin²x) + 2 sin²x

= 1 - 2 sin²x + 2 sin²x

= 1

Explain how you can use doubles when
multiplying with 4 to find 4 X 8.

Answers

Multiplying by 4 using the doubles strategy utilizes the fact that 4 is double of 2. Hence, 4 time any number is double of 2 times that number. Thus, given 4 x 8, it can be evaluated using the double strategy as follows 2 x 8 + 2 x 8 = 16 + 16 = 32

In the figure below, mZ1=2x° and m2 = (x + 42).
Find the angle measures.
2
m2 1 - 1
Х
$
m2 = 1

Answers

Answer:

[tex]2x + x + 42 = 90\degree \\ 3x = 48 \\ x = \frac{48}{3} = 16 \\ m \angle1 = 2(16) = 32\degree \\ m\angle2 = 16 + 42 = 58\degree \\ or \\ m\angle2 =90 - m\angle1 =90 - 32 = 58 \degree[/tex]

janelle earns $9 an hour and works 25 hours per week. 26% of her pay goes towards taxes. she is hoping to buy her first car 8 months from now for $3,200. Write a smart goal for janelle so she will know how much money to set aside each month in order to reach her goal

Answers

Answer

100

Step-by-step explanation:

what percent of 235 is 148.05

Answers

Answer:

63% is the correct answer hope this helps

i need help with this

Answers

Answer:

A

Step-by-step explanation:

If a fair coin is tossed twice the possible outcomes are HH, HT, TH or TT, where HH means both tosses are heads and HT means that the first toss is a head and the second toss is a tail, etc. Since the coin is fair, a 50-50 chance of getting a head or a tail, we assign a probability of 1/4 to each of the four outcomes. Assuming that a fair coin was tossed twice, find the probability that both tosses were heads given that at least one of the tosses was a head. Round your answer to 4 decimal places.

Answers

The conditional probability value rounded to 4 decimal places is : 0.2500

The relation can be used to find the conditional probability of events given :

P(HH | Atleast 1 head) = P(HHn(Atleast 1 H)) / P(Atleast 1 H)

P(Atleast 1 H) = P(HT + TH + HH)

P(Atleast 1 H) = P(HT + TH + HH) = 3(0.25) = 0.75

P(HHn(Atleast 1 H)) = P(HH) × P(Atleast 1 H) = 0.25 × 0.75 = 0.1875

Therefore, the conditional probability can be expressed as :

P(HH | Atleast 1 head) = 0.1875 / 0.75 = 0.25

Therefore, P(HH | Atleast 1 head) is 0.25

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Which data set has the same standard deviation as the data set {2,2,5,6,8}?

A. {3,4,4,7,7}
B.{5,6,5,6,5}
C.{3,3,6,7,9}
D.{4,4,5,5,5}

Answers

Answer:

C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

am i right???? Please explain even if I am???

Answers

Similar triangles have the same angle measures, but different side lengths. Generally, similar triangles are proportional.

So, we can say that AB / DE = BC / EC.

16 / DE = 12 / 9

12(DE) = 144

DE = 12

Hope this helps!! :)


A diver takes a running leap off of a 40 foot cliff into a pool of water. When she is 5 feet from the cliff,
she reaches a maximum height of 45 feet
Let H(x) represent a parabolic function with the height of the diver above water in terms of her horizontal distance
write a function to graph

Answers

of" (and any subsequent words) was ignored because we limit queries to 32 words.

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
time that the rocket will hit the ground, to the nearest 100th of second.
y = -16x2 + 130x + 140

Answers

Answer:

10.17 seconds

Step-by-step explanation:

substitute y=0 into the equation

0=-16x²+153x+98

then use the quadratic formula

a = -16

b= 153

c = 98

Substituting values into the Quadratic equation, you get (Round the values to the nearest hundreth):

x₁= 10.17

x₂= -0.60

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