Question

If g(x) = 3x - 7, then g-1(x) = _____.

Answer 1

To find the inverse of g(x) we need to interchange x and y, as follows:
y = 3x - 7
x = 3y -7
3y = x + 7
$g^{-1}(x)=\frac{1}{3}(x+7)$