Mathematics 0580 · IGCSE · Functions

Functions — practice question

$f(x) = 2x - 3$, $g(x) = 9 - x^2$, $h(x) = 3^x$.
(a(i))[1]

Determine $f(4)$.

(a(ii))[2]

Determine $hg(3)$.

(a(iii))[1]

Write $g(2x)$ in its simplest form.

(a(iv))[2]

Express $fg(x)$ in its simplest form.

(b)[2]

Determine $f^{-1}(x)$.

(c)[2]

Determine $x$ when $5f(x) = 3$.

(d)[4]

Find the solutions of the equation $gf(x) = -16$.

(e)[1]

Determine $x$ when $h^{-1}(x) = -2$.

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