Mathematics 0580 · IGCSE · Functions

Functions — practice question

The functions are given by $f(x)=5^x$, $g(x)=3x-2$, and $h(x)=x^2+1$.

(a)[1]

Find the value of $f(5)$.

(b)[1]

Find $g(8x)$.

(c)[2]

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

(d)[3]

Find the positive solution of $gh(x)=364$.

(e)[1]

Find $f^{-1}(12)$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “$5^5$” …