IB Maths AA HL Sl 2 5 Composite and Inverse Functions Topic Practice

Consider the function $f(x)=a x^{3}+b x^{2}+c x+d$, where $x \in \mathbb{R}$ and $a, b, c, d \in \mathbb{R}$.

Sketch the graphs of y=g(x) and $y=g^{-1}(x)$ on the same set of axes, indicating the points where each graph crosses the coordinate axes.