The function $$$\mathrm{f}$$$ is defined by $$$\mathrm{f}(x)=\frac{2 x}{3 x-1}$$$ for $$$x>\frac{1}{3}$$$. Show that $$$\frac{2}{3}+\frac{2}{3(3 x-1)}$$$ can be expressed as $$$\frac{2 x}{3 x-1}$$$. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics

IGCSE&ALevel

CAIE

Exam No：9709_w20_qp_13 Year：2020 Question No：6(b)

Answer:

$\left[\frac{2(3 x-1)+2}{3(3 x-1)}\right]=\left[\frac{6 x}{3(3 x-1)}=\frac{2 x}{3 x-1}\right]$

1.2.1 understand the terms function, domain, range, one-one function, inverse function and composition of functions