Mathematics 0580 · IGCSE · Functions

Functions — practice question

The functions are $f(x) = 7x - 2$, $g(x) = x^2 + 1$, and $h(x) = 3^x$.
(a)[2]

Find the value of $gh(2)$.

(b)[2]

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

(c)[3]

For $gg(x) = ax^4 + bx^2 + c$, find the values of $a$, $b$ and $c$.

(d)[3]

Find $x$ for which $hf(x) = 81$.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: The answer is $82$.

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