If f(x) = x3 – 7, show that f-1(x) = Vx+7.

Answers

Answer 1

Answer:

f(x)=4−(x−7)

3

Let y=f(x)

So, x=f

−1

(y) ---- ( 1 )

y=f(x)

⇒ y=4−(x−7)

3

⇒ (x−7)

3

=4−y

⇒ x−7=

3

4−y

⇒ x=7+

3

4−y

⇒ f

−1

(y)=7+

3

4−y

.................. [ From ( 1 ) ]

∴ f

−1

(x)=7+

3

4−x


Related Questions

i don’t understand this i’m confused.

Answers

1/256 would most likely be the answer

What is the value of x + 4? 3x−6(x+2)=−3 Enter your answer in the box. x + 4 =

Answers

x=-3, so -3+4 is 1. The value of x+4 is 1

what is 2,665 divided by 36 witha remainder?

Answers

74  R28

So sorry if its incorrect!

What is the main idea or topic of a story called?
A. plot
B. theme
C. character
D. dialogue

Answers

Answer:

the answer is B. Theme. Hope this helps

It is B theme

Explanation

The theme is what the story’s topic is about
It’s also the main idea

X= - 3/4Y -5. Please put this in slope intercept.

Answers

y = - 4/3 x - 20/3

Step-by-step explanation:

x = - 3/4 y - 5   Move Terms

3/4 y = - 5 - x   Divide both sides

y = - 20/3 - 4/3 x     Reorder the terms

y = - 4/3 x - 20/3

Hint :- The slope intercept form of the line is [tex] y = mx + c [/tex] , where m is the slope of the line and c is y intercept .

Solution:-

Given equation to us ,

[tex]\implies x = \dfrac{-3}{4}y -5 [/tex]

Multiply both sides by 4 ,

[tex]\implies 4x = -3y -20 [/tex]

Add 20 to both sides ,

[tex]\implies 4x +20 = -3y [/tex]

Divide both the sides by -3 ,

[tex]\implies \dfrac{-4}{3}x-\dfrac{20}{3}= y [/tex]

Flip the equation ,

[tex]\implies y = \dfrac{-4}{3}x-\dfrac{20}{3} [/tex]

find the 21st term of the AP 1,3,5,7,

Answers

Answer:

are you Philippines ty points

Answer:

a₂₁ = 41

Step-by-step explanation:

The nth term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 1 and d = a₂ - a₁ = 3 - 1 = 2 , then

a₂₁ = 1 + (20 × 2) = 1 + 40 = 41

Judy received 198 votes for class president. This was 55% of the total votes cast. How
many votes were cast?
Enter your answer in number form only. Do not attach a label.

Answers

Answer:

Step-by-step explanation:

Sbakjxd

the answer is 306 :)

(-14)x=+56??????????????????????

Answers

Take the (-14) on the left and divide it with the 56 on the right. That isolates the x, so x=-4

-2.15-5j=-1.8+2.1j-7.45
J=

Answers

Answer:

j = 1

Step-by-step explanation:

-2.15+1.8+7.45 = 2.1j + 5j

7.1 = 7.1j

7.1/7.1 = j

Which equation can be used to find the missing leg in the triangle?
a2 + 202 = 162
202 + 162 = a2
a2 + 162 =202
16 + a2 = 20

Answers

Answer:

the person above me is correct C

Step-by-step explanation:

or a(2 + 16(2 = 20(2

The correct equation to the missing leg in the triangle is,

⇒ a² + 16² = 20²

What is Pythagoras theorem?

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

Given that;

The triangle is missing the b leg,

And, Two sides are,

c = 20 and a = 16

Hence, By using Pythagoras theorem we get;

⇒ a² + 16² = 20²

Thus, The correct equation to the missing leg in the triangle is,

⇒ a² + 16² = 20²

Learn more about the Pythagoras theorem visit:

https://brainly.com/question/343682

#SPJ7

Complete question is this,

Which equation can be used to find the missing leg in the triangle?

a² + 20² = 16²

20² + 16² = a²

a² + 16² =20²

16 + a² = 20

p.s the triangle is missing the b leg, and c=20 and a=16

A cereal box manufacturer changes the size of the box to increase the amount of cereal it contains. The expressions 13+7.9n and ​10+8.2n, where n is the number of smaller​ boxes, are both representative of the amount of cereal that the new larger box contains. How many smaller boxes equal the same amount of cereal in the larger​ box? The larger box of cereal has as much cereal as nothing smaller boxes.

Answers

Answer: 10.5 small boxes

Step-by-step explanation:

Simplify 20 + 52 × 2.
Question 24 options:


40


90


1,250


70

Answers

Step-by-step explanation:

Simplify:

20 + 52 × 2

=> 20 + 104

=> 124 Ans.

None of these.

Hey there!

20 + 52 × 2

= 72 × 2

= 72 + 72

= 144

Therefore, your answer SHOULD BE: 144

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

8-pack jump ropes cost $10.48 what is the price of 1-pack of jump rope?

Answers

Answer:

1.31$

Step-by-step explanation:

Because I’m a teacher

The price of a 1-pack of jump rope is $1.31 10.48/8=1.31

Il
Topic: Parallel and Perpendicular Lines
Which of the following pairs of lines are perpendicular?
Select all that apply.
A. y = 3x + 4 and y Ź x – 8
B.y = x 8 and y= -x –
C. y = x + 2 and y
-x+3
D.y = 3x + 2 and y = 3x - 2
E.y=3 and x = 4
F. y = x 8 and y = -x + 3

Answers

Answer:

Step-by-step explanation:

If slope of two lines are equal, then they are parallel lines.

If product of the slope of two lines is (-1), then they are perpendicular lines.

C) y = x + 2

Slope m1 = 1

y = -x + 3

Slope m2 = -1

m1 * m2 = 1 * (-1) = -1

These are perpendicular lines.

D) y = 3x + 2

Slope = m1 = 3

y = 3x - 2

Slope = m2 = 3

Slopes are equal. So, they are parallel lines.

E)y= 3

This line is parallel to x -axis.

x = 4

This line is parallel to y-axis.

So, both lines are perpendicular to each other.

F) y = x + 8

slope m1  = 1

y = -x + 3

Slope = m2 = -1

M1 * m2 = 1 * (-1) = -1

So, These are perpendicular lines

Select all of the equations that are equivalent to 3 x − 12 = 19
A 3x-12=19
B 3x=7
C 3x=31
D 3x+31=0
E 5x-12=2x+19
F x-4=(19/3)

Answers

Answer:

X=2

Step-by-step explanation:

x

=

2

Explanation:

Collect terms in x on the left side of the equation and numeric values on the right side.

add 3x to both sides.

5

x

+

3

x

+

12

=

3

x

+

3

x

4

8

x

+

12

=

4

subtract 12 from both sides.

8

x

+

12

12

=

4

12

8

x

=

16

To solve for x, divide both sides by 8

8

x

8

=

16

8

x

=

2

As a check

Substitute this value into the equation and if the left side is equal to the right side for this value then it is the solution.

left side  

=

(

5

×

2

)

+

12

=

10

+

12

=

2

right side  

=

(

3

×

2

)

4

=

=

6

4

=

2

x

=

2

is the solution

Answer:

b Beacuse you can't times 3 by twelve but you can multiple 3times7+1 to get 19

Find m angleA
A. 10
B. 20
C. 16
D. 14

Answers

Find m angle A
B. 20 is correct

help me with this and i will give you brainlest

Answers

answer is : 17 and 19

Find the distance from roller coaster 1 to the swings please help

Answers

Answer:

Step-by-step explanation:

What is 9,403.053 rounded to the nearest hundredth ​

Answers

Answer:

9,403,100

Step-by-step explanation:

just round it to the nearest 100

Whats the answer to this question? ( I'll give Branliest! )

Answers

Answer:

21

Step-by-step explanation:

3^3 + 11(2) - 4(7) = 27 + 22 - 28

f³+11g-4h

f=3,g=2,h=7

Now

3³+11(2)-4(7)27+22-2849-2821

Tyger buys a car for $3200. He renovates it and eventually sell it for $3800. Work out the percentage increase he sold the car for.

Answers

Answer:

i believe it's about 18.75% he only gained $600

Melissa has 885 cards and she wants to store them in envelopes. She has 35 envelopes. How many envelopes does she need

Answers

Answer:

I don't know

Step-by-step explanation:

I don't understand the point of this probem. It says that she has 35 envelopes best it doen't say how much can fit into each one. Maybe you ftogot some details pls reply in the comments.

32•25 in subtraction

Answers

Answer:

7

Step-by-step explanation:

32 because all you need it to count it you can use your fingers too

-25

7

I need some help with y = tan(x − π/4 ) + 1

Answers

thats the graph for it hope it helps

I need this ASAP please!!!!

Answers

Answer:

I think B is the answer ..........

360 - 330 = 30
Tan30 = sqrt(3)/3
Cot is 1/Tan
1/sqrt(3)/3
Divide
3/sqrt(3)
Can’t have square root on the bottom so multiply by sqrt 3
3sqrt(3)/3
Simplify
Sqrt(3)

Tomika opened a bank account. She deposited $75 each
month for 10 months. Her bank charged her $3 each
month to use the account.

How much money is in Tomika's account after 10 months?

No links plsss

Answers

[tex]\bigstar\boxed{\large\sf\purple{\leadsto D ) \$720}}[/tex]

__________________________________________

[tex]\large\sf{\underline{Given:}}[/tex]

➠ Tomika deposited $75 each month for 10 months in her bank ➠ Her bank charged her $3 each month to use tha account

[tex]\large\sf{\underline{To\:find:}}[/tex]

How much money is in Tomika's account after 10 months?

_______________________________________

[tex]\large\sf{\underline{Therefore:}}[/tex]

❒ Total amount of money deposited in 10 months :

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\sf{\longrightarrow 75\times 10}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\sf{\longrightarrow \$750}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

❒ Total amount of mony charged by the bank in 10 months :

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\sf{\longrightarrow 3\times 10}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\sf{\longrightarrow \$30}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

❒ Total amount of money left in Tomika's account after 10 months :

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\sf{\longrightarrow 750-30}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\sf{\longrightarrow \$720}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

Answer:

720

Step-by-step explanation:

Which list orders –3, 2, 5, –1 from least to greatest?
–1, 2, –3, 5
–1, –3, 2, 5
–3, –1, 2, 5
5, 2, –1, –3

Answers

Answer:

--3,-1,2,5

all numbers from the left side are smaller than the those on the right

Answer:

-3,-1,2,5

Step-by-step explanation:

23 - 8x + 5x + 1
Plz help

Answers

Answer:

-3x+24

Step-by-step explanation:

Answer:

Step-by-step explanation:

23-8x+5x+1=

We move all terms to the left:

23-8x+5x+1-()=0

We add all the numbers together, and all the variables

-3x=0

x=0/-3

x=0

Add.
2+(-5)
Enter your answer in the box.

Answers

mark me brainiest, please;

Answer: -3

Select the correct answer. Which equation represents a line that is parallel to the x-axis, is perpendicular to the y-axis, and has a slope of 0? A. y=4/5x + 4/5 B. y=5/4x
C. y=4/5 D. x=5/4

Answers

Answer: D

Step-by-step explanation: i did this

Answer:

C. y = 4/5

Step-by-step explanation:

The line parallel to the x-axis has same coordinate for any value of x. The slope is zero.

This line has the form:

y = b, where b is the y-intercept.

The only option with similar form is C

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