Mathematics 0580 · IGCSE · Functions

Functions — practice question

The functions are $f(x)=3x+4$, $g(x)=2x-1$ and $h(x)=3^x$.
(a)[1]

Find the value of $g\left(\frac12\right)$.

(b)[2]

Find the value of $fh(-1)$.

(c)[2]

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

(d)[2]

Find the simplest form of $ff(x)$.

(e)[2]

Find $(f(x))^2$ written as $ax^2+bx+c$.

(f)[2]

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

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