Question

If the function $f:R\to R$, defined by $f\left(x\right)=3x-4$ is invertible, find $f^{-1}$.

Answer 1

Let $y=f\left(x\right)$

Then, $y=3x-4$

$y+4=3x$

$x=\frac{y+4}{3}$

Thus, $f^{-1}:R\to R$ is defined by

$f^{-1}\left(x\right)=\frac{x+4}{3}$