Question

If f(x) = 7x+12, what is the inverse function of f(x) equal to ?

Answer 1

f^-1(x) = -12/7 + x/7

Hope this helps!

Answer 2

$\textbf{Answer}$

$\textbf{We are given,}$
f(x) = 7x +12

I will solve this question in the simplest way,

$\textbf{Steps to find inverse of any f(x) = ax + b}$

•Assume f(x) = y

•Find value of x in terms of y

•Replace x and y in the function to find the inverse {f^(-1) x}

$\textbf{Lets comeback to the given function,}$

f(x) = 7x + 12
Lets put f(x) = y
=> y = 7x + 12
=> 7x = y - 12
=> x = (y/7) - (12/7) ------(1)

Lets replace the value of x and y in equation (1) to find the inverse,
=> f^(-1) x = (x/7) - (12/7)
=> f^(-1) x = (x - 12)/7

$\textbf{Hope It Helps}$

$\textbf{Thanks}$