Question 19
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 $x \in \mathbb{R}$.
**(a)** Given that the range of f is $\text{f}(x) \ge -33$, find the possible values of $a$.
The function g is such that $\text{g}^{-1}(x) = \sqrt[3]{2x - 4}$ for $x \in \mathbb{R}$.
**(a)** Given that the range of f is $\text{f}(x) \ge -33$, find the possible values of $a$.
