Question

find the inverse of g(x) = 3/2 x +8

Answer 1

let us assume g(x) be y
\[y = {{3}\over{2}}x + 8\]
\[y-8={{3}\over{2}}x\]
\[{{2}\over{3}}(y-8)=x\]
\[f(y) = {{2}\over{3}}(y-8)\]