Question

which of the following expressions is the inverse of the y=3x+4

Answer 1

$f(x)=3x+4\to y=3x+4\ \ \ \ |subtract\ 4\ from\ both\ sides\\\\y-4=3x\ \ \ \ |divide\ both\ sides\ by\ 3\\\\x=\dfrac{y-4}{3}\\\\Answer:\boxed{f^{-1}(x)=\frac{x-4}{3}}\to\boxed{y=\frac{1}{3}x-\frac{4}{3}}$