Question

3x-y=9, find the inverse

Answer 1

3y-x=9,
solve for y,
3y=x+9,
y=(x+9)/3,
or y=1/3x+3.

Answer 2

To find the inverse, switch x and y to each other then isolate y.

Answer 3

\[f(x)=3x-9 \rightarrow f^{-1}(x)=3y-9 \implies x=3y-9 \rightarrow y^{-1}=\frac{ x }{ 3 }+3\]

Answer 4

@ahekker

Answer 5

Thank you, ahekker.