Mathematics 0580 · IGCSE · Functions

Functions — practice question

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

Find the value of $fh(2)$.

(b)[2]

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

(c(i))[2]

Simplify the expression $f(1-2x)$.

(c(ii))[4]

Simplify the expression $gf(x) - 9g(x)$.

(d)[2]

Given $\frac{1}{h(x)} = g^kx$, find the value of $k$.

Worked solution & mark scheme

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