Question

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

Answer 1

Answer ↓

$\large\text{view\:explanation\:for\:more\:details}$

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 :

$\text{y= \displaystyle\frac{x-2}{7} }}$

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

$\tiny\text{hope\:helpful}$

Answer 2

Answer:

$\frac{x - 2}{7}$

Step-by-step explanation:

$f(x) = 7x + 2$

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

$7x + 2 = y$

$7x = y - 2$

$x = \frac{y - 2}{7}$

${f}^{ - 1} (x) = \frac{x - 2}{7}$