Mathematics 0580 · IGCSE · Functions

Functions — practice question

Given functions are f(x) = $10-x$, g(x) = $\frac{2}{x}$, $x \ne 0$, h(x) = $2^x$, and j(x) = $5-2x$.
(a(i))[1]

Find the value of $g\left(\frac{1}{2}\right)$.

(a(ii))[1]

Find the value of $hg\left(\frac{1}{2}\right)$.

(b)[1]

Find the value of $x$ when $f(x)=7$.

(c)[2]

Find the value of $x$ when $g(x)=h(3)$.

(d)[2]

Find the inverse function $j^{-1}(x)$.

(e)[3]

Express $f(x)+g(x)+1$ as one fraction in simplest form.

(f)[4]

Determine the values of $a$, $b$ and $c$.

(g)[2]

Find the value of $x$ when $h^{-1}(x)=10$.

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