Mathematics 0580 · IGCSE · Functions

Functions — practice question

Given $f(x)=2x+1$, $g(x)=x^2+4$ and $h(x)=2^x$.
(a)[2]

Solve $f(x)=g(1)$.

(b)[2]

Find $fh(3)$.

(c)[2]

Find the inverse, $f^{-1}(x)$.

(d)[3]

Find $gf(x)$ in simplest form.

(e)[1]

Solve $h^{-1}(x)=0.5$.

(f)[1]

$\dfrac{1}{h(x)}=2^{kx}$. Write down $k$.

Worked solution & mark scheme

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