Answer :
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
[tex]g^{-1}(x)=\frac{1}{3}(x+7)[/tex]
y = 3x - 7
x = 3y -7
3y = x + 7
[tex]g^{-1}(x)=\frac{1}{3}(x+7)[/tex]