Review question

# When is one of these functions greater than the other? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R6008

## Suggestion

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

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

Note that $\mathbb{R}$ means the set of real numbers, and in set theory “$x\in S$” means “$x$ is a member of the set $S$”. So here $x\in \mathbb{R}$ tells us that $x$ is a real number.