Question

Let f(x) = 5x + 12. Find f–1(x).

Answer 1

1) Find \(x\) in terms of \(y\).

\( \color{Black}{\Rightarrow y = 5x + 12}\)
\( \color{Black}{\Rightarrow y - 12 = 5x }\)
\( \color{Black}{\Rightarrow \Large{y - 12 \over 5} = x}\)

2) Replace \(y\) with \(x\) and \(x\) with \(f^{-1}(x)\)

Answer 2

y = 5x + 12

x = y - 12 / 5

Ans: x - 12 / 5

Answer 3

\( \color{Black}{\Rightarrow \Large {x - 12 \over 5} = f^{-1}(x) }\)

Answer 4

ohhhhhhh, so it's\[f^{-1}(x)\]