Answer
$f^{-1}(x)=\frac{x+5}{3}$
Work Step by Step
Equation given:
$f(x) = 3x-5$
Replace $f(x)$ with $y$:
$y = 3x-5$
Make x the subject:
$\frac{y+5}{3} = x$
Interchange x and y:
$\frac{x+5}{3} = y$
Thus the inverse function is:
$f^{-1}(x)=\frac{x+5}{3}$
