Mathematics 9709 · AS & A Level · Functions

Functions — practice question

The functions $f$ and $g$ are given by $f(x) = 4x - 2$, where $x \in \mathbb{R}$, and $g(x) = \frac{4}{x + 1}$, where $x \in \mathbb{R}$ and $x \ne -1$.
(a)[1]

Determine the value of $fg(7)$.

(b)[5]

Find the values of $x$ such that $f^{-1}(x) = g^{-1}(x)$.

Worked solution & mark scheme

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