Question 20
The function f is defined by $\text{f}(x) = x^2 + 4ax + a$ for $x \in \mathbb{R}$, where $a$ is a constant.
The function g is such that $\text{g}^{-1}(x) = \sqrt[3]{2x - 4}$ for $x \in \mathbb{R}$.
**(b)** Given instead that $\text{fgg}(0) = 96$, find the value of $a$.
The function g is such that $\text{g}^{-1}(x) = \sqrt[3]{2x - 4}$ for $x \in \mathbb{R}$.
**(b)** Given instead that $\text{fgg}(0) = 96$, find the value of $a$.
