Question

F(x) = 7 x +12, what is f-1(x) (the inverse function)?

Answer 1

f (x)=7x+12
let, y=7x+12
now, changing the palces of x and y,
x=7y+12
x-12=7y
so, y=(x-12)/7
by definition of inverse function,
f-1 (x)=(x-12)/7

Answer 2

Answer:

$F^{-1}(x)=\frac{x-12}{7}$

Step-by-step explanation:

Given : $F(x) = 7 x +12$

To Find : $F^{-1}(x)$

Solution:

Let F(x) be y

$F(x)=y = 7 x +12$

$y = 7 x +12$

Find the value of x

$y-12 = 7 x$

$\frac{y-12}{7} = x$

Replace y with x and x with y

$\frac{x-12}{7} =y$

So, $F^{-1}(x)=\frac{x-12}{7}$