Question

F (x) = 7x + 2. Find the inverse of f(x).

O A. f-1(2)= 4
O B. f-1(r)=Tx-2
O c. f-(t) =%á
O D. f (x) = 2- 7x

Answer 1

Answer ↓

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Calculations ↓

Remember , inverse functions do the opposite things in the opposite order.

Here's what happened to x here :

1. First , it's been multiplied by 7 .
2. Then , 2 has been added to it .

We can easily find the inverse of any function by following these steps :

1. Set the function equal to y as follows :

f(x)=7x+2

y=7x+2

2. Now , switch y and x places :

x=7y+2

3. Solve for y .

First , subtract 2 on both sides :

x-2=7y

Divide by 7 on both sides :

`\text{y=$\displaystyle(x-2)/(7)$}}`

We've found the inverse function of f(x)=7x+2.

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Answer 2

`(x - 2)/(7)`

Explanation:

`f(x) = 7x + 2`

`let \: \: f(x) = y`

`7x + 2 = y`

`7x = y - 2`

`x = (y - 2)/(7)`

`{f}^( - 1) (x) = (x - 2)/(7)`