Question

Graph f(x)= 3x+3 and also calculate the inverse of f(x).

Answer 1

The function is given as,

$f\mleft(x\mright)=3x+3$

The graph of the function is given as,

The inverse is calculated as,

A function g is the inverse function of f for y = f(x) and x = g(y).

$\begin{gathered} y\text{ = 3x+3} \\ x\text{ = 3y+3} \end{gathered}$

Simplifying further,

$y\text{ = }\frac{x-3}{3}$

Thus the inverse of the given function is,

$f^{-1}x)\text{ }=\frac{x-3}{3}$