The functions $f\,$ and $g\,$ are defined for all real values of $x\,$ by

$f(x) = 2x^2 - 3x$ and $g (x) = 4 x + 4$

Using set notation, find the range of $f$ .

Determine whether $f\,$ has an inverse. Fully justify your answer.

Determine the set of values of $x\,$ for which $f (x) > g (x)$ . Give your answer in set notation.

The functions $f\,$ and $g\,$ are defined for all real values of $x\,$ by

$f(x) = 2x^2 - 3x$ and $g (x) = 4 x + 4$

Using set notation, find the range of $f$ .

Determine whether $f\,$ has an inverse. Fully justify your answer.

Determine the set of values of $x\,$ for which $f (x) > g (x)$ . Give your answer in set notation.

3 Unit A2 1: Pure Mathematics (A-level only)

3 Unit A2 1: Pure Mathematics (A-level only) Questions