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

The function f is defined by the following rule.
f(x) = 3x-1
Complete the function table.

Answers

Answer:

hope it helps

...

.........

How many groups of 3/4 are in 4 1/2

Answers

Answer:

5 1/2

Step-by-step explanation:

3/4+3/4+3/4+3/4+3/4+1/2= 4.25

4.25 = 4 1/2

The number of 3/4 groups is 6.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Total amount = 4(1/2) = 9/2

The number of groups.

= 9/2 ÷ 3/4

= 9/2 x 4/3

= 6

Thus,

There are 6 groups of 3/4.

Learn more about fractions here:

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A baseball pitcher has pitched 82 2/3 Innings. What is the number of innings written as a decimal?




Answers

82.66666667 (this rounded) if you want the non rounded version this is the answer:

82.6666666666666666

The 6’s will go on forever so, in your answer you need to put a horizontal line on top of the six:

Ex. _
82.66


Any of these answers are correct, you can choose which to use. The safest answer would be the last one that has the line on top.

Pls mark brainliest :)

Polynomials

Multiply 5x(x2 - 4x+2)

Answers

Answer:

[tex]5x^3-20x^2+10x[/tex]

Answer:

-10x(x-1)

Step-by-step explanation:

5x(2x-4x+2)

10x^2-20x^2+10x

-10x^2+10x

-10x(x-1)

7x^2-4+6x^3-4x-x^4 in standard form?

Answers

Answer:

-x^4 + 6x^3 + 7x^2 -4x -4      

Step-by-step explanation:

= -(x+1)(x^3-7x^+4 / factor the expression

Choose a factor pair of 36.Show how this factor pair can be found in the prime factorization of 36

Answers

Answer:

2*2*3*3

Step-by-step explanation:

https://math.answers.com/Q/How_can_you_use_prime...

if x < 0, y > 0, and x + y = z, which statement about z is true?

Answers

Answer:

Z is greater than zero because it equals 1 or more.

Step-by-step explanation:

X/Y/Z=1+

you have $50 in your bank account. Each week you plan to deposit $7 from your allowance and $10 from your paycheck. The equation b= 50 + (10 + 7)w gives the amount b in your account after w weeks. How many weeks from now will you have $150 in your bank account?

Answers

Answer:

Step-by-step explanation:

It will take 6weeks for you to have$150

**The domain of f(x) = 3x + 2 is
{-1 in the range?

Answers

Answer:

Yes

Step-by-step explanation:

Graph this function on your calculator and you will see an upwards graph, if the range (y), -1 can be mapped on the graph, it is within the range.

What is -5 - 9 - 13 equal to?

Answers

Answer: -27

Step-by-step explanation: subtract -5 and - 9 to get -14, then subtract -13 and -14 to get -27

The equation is equal to -27

What is the function of this graph ?

Answers

Answer:

awedawedwadddddddddddddddddddddddddddddddd

Step-by-step explanation:

awedwadawaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Which of these expressions are equal to 4? Select THREE that apply.

Answers

There’s no picture- send me a picture and I’ll be happy to help

$12 per 45 minutes is how much an hour? (I will give good rating to anyone who answers)

Answers

Answer:

$16

Step-by-step explanation:

1. Simplify 12/45 which is now 4/15. Now we know $4 is made every 15 minutes.

2. Divide into 60(minutes) by the the 15. So 60÷15=4. Now we the number of times 15 can be divided into 60.

3. Multiply the ratio 4/15 by 4/4 to see how much is made in an hour. 4x4/15×4=16/60.

$16 is made in 60 minutes (1 hour).

please help teacher mean

Answers

218/21 — all added


10 8/21 — simplified

10.380952 — decimal this repeats :)

How many 1/5 cm can be cut from a 30 cm piece of ribbon

Answers

Answer:

6 ang

Step-by-step explanation:

mark me as brainliest

Use the distributive property to write an equivalent expression to -4(p+ 4) that
has no grouping symbols.
please help

Answers

Answer:

-4p-16

Step-by-step explanation:

8) -4+41-5 +9pl = 48

Answers

Answer:

L= -11/9p

Step-by-step explanation:

put me brailiest

Answer
L= -11/9 p
:)))

How are x and y related in the equation 7 (x - y) = 0?
O = -Y
O x=y
O 7x = y
O 7x = -Y

Answers

b is the correct answer, i believe

Your job is to sell headbands for each headband that you sell at headbands R us you earn a commission of $1.25 if you do not sell any headbands you do not earn any money

Answers

Answer:

10 headbands = $12.50

Step-by-step explanation:

1) The function equation that represents the relationship between the number of headbands sold (x) and the commission earned (S) is: S = 1.25 * x. For each headband sold, you earn a commission of $1.25.

2) The point (5, 6.5) is not a solution for the function. When you sell 5 headbands, the commission earned should be $6.25, not $6.5.

3) A solution that does not appear in the table is (10, 12.50). Selling 10 headbands would result in a commission of $12.50.

1.

To complete the table, we can use the given information that for each headband sold, you earn a commission of $1.25.

Function Rule (Commission S): The function equation that represents the relationship between the number of headbands sold (x) and the commission earned (S) is:

S = 1.25 * x

Now, we can use this function to fill in the table:

Number of Headbands Sold (x) | Commission (S)

0 | 0 * 1.25 = $0 (No commission earned for 0 headbands sold)

1 | 1 * 1.25 = $1.25

2 | 2 * 1.25 = $2.50

3 | 3 * 1.25 = $3.75

7 | 7 * 1.25 = $8.75

15 | 15 * 1.25 = $18.75

32.50 | 32.50 * 1.25 = $40.625 (The value in the table seems to be a typo, it should be 32.50 * 1.25 = $40.625)

2.

To check if (5, 6.5) is a solution for the function, we need to see if the commission earned (S) matches with the given number of headbands sold (x) for that point.

Given (x, S) = (5, 6.5)

Using the function rule: S = 1.25 * x

S = 1.25 * 5 = 6.25

The commission earned (S) is $6.25, not $6.5. Therefore, (5, 6.5) is not a solution for the function as the value of S does not match.

3.

To identify a solution that does not appear in the table, we can select any number of headbands sold (x) and calculate the corresponding commission (S) using the function rule.

For example, let's choose x = 10:

Using the function rule: S = 1.25 * 10 = $12.50

So, a solution that does not appear in the table is (10, 12.50), where 10 headbands sold results in a $12.50 commission.

Learn more about Function Rule from the link given below.

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Which pair of points has a slope of 4?​

Answers

Answer:

Sorry, but you'll need to give the pairs of points as well.

Answer:

do you have the coordinate points

can some 1 help me please

Answers

Answer:

ygghjhghccghhfghjkvgnkvvnvcvbvf

What would you need help with

Someone please help

Answers

Answer:

Step-by-step explanation:

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1-The diameter and a tangent are parallel.

A) always true

B) never true

2-The tangent at point B and the radius to point B are perpendicular to each other.

A) always true

B) never true

Answers

Answer:

always true always true

A circle is placed in a square with a side length of 18cm, as shown below. Find the area of the shaded region. Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer.

Answers

Answer:

92658

Step-by-step explanation:

jdbshe hzvx

nxgsbdxyxbhxgx6666

Which of the following is the graph of y=√-x-3?

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

-x-3 ≥ 0

-x ≥ 3

x ≤ -3

Find the value of x ?

Answers

Answer:

x = 232

Step-by-step explanation:

We know the measure of two angles now if you add both of them (90 +38) it will get u to 128now subtract 128 from 360and it will give u 232.

what is the ratio of hearts to suns write your answer in simplest form for example 8:6 is equivalent to to 4:3

Answers

Step-by-step explanation:

this is the answer

please follow me and mark me as a brainlist

A politician has $4,200 to buy TV advertisements. If each advertisement costs $700, how many advertisements can the politician buy?

Answers

Answer:

He can but 6 ads

Step-by-step explanation:

how i thought of it was what times 700 hundred gives me 4,200 and i used the math that i have been taught and put together 6

Answer:

8

Step-by-step explanation:

4200÷7=

.................................

I get paid $12 per hour. what is time and half for every hour over 40 hours

Answers

Answer:

1.5

Step-by-step explanation:

To find the employee's regular earnings, multiply their regular pay rate ($12) by 40 hours. Next, calculate the employee's time and a half pay rate. Multiply 1.5 by the employee's regular rate of pay.

Answer:

480 would be your answer

Step-by-step explanation:

From start to finish, a machine can fill a bottle of water, seal it, label it, and pack it in 8.6 seconds. About how many bottles of water are packed in 480 seconds? pls answer due today.

Answers

you divide 480 by 8.6 i think
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