Review question

# What are the greatest and least values of $f(x) - g(x)$ on this interval? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R9056

## Question

Functions $f$ and $g$ are defined by \begin{align*} f &\colon x \to x(x-1), \\ g &\colon x \to (x-1)(3x - 5), \end{align*}

where $x \in \mathbb{R}$ in each case.

1. Find the solution set, $S$, of the inequality $f(x) \ge g(x)$.

2. Sketch the graph of $y = f(x) - g(x)$ for $x \in S$, and state the greatest and least values of $f(x) - g(x)$ for $x \in S$.