Mathematics 9709 · AS & A Level · Functions

Functions — practice question

The function $f$ is given by $f(x)=1+\frac{3}{x-2}$, with $x>2$.
(a)[1]

State the range for $f$.

(b)[4]

Obtain an expression for $f^{-1}(x)$; state the domain of $f^{-1}$.

(c)[2]

The function $g$ is defined by $g(x)=2x-2$ for $x>0$. Determine a simplified expression for $gf(x)$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct range: $|y|>1$

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