Question

Complete the inverse of F(x) below. F(x) = 4x - 4

Answer 1

Let's say that f(x) is y. Let's find x in terms of y.

\(\Large \color{Black}{\Rightarrow y = 4x - 4}\)

\(\Large \color{Black}{\Rightarrow {y + 4} = 4x }\)

\(\Large \color{Black}{\Rightarrow x = {y + 4 \over 4} }\)

We just replace y with x and we say:

\(\Large \color{Black}{\Rightarrow f^{-1}(x) = {x + 4 \over 4} }\)