The function f and g are defined by f(x)=6 x+8 ; g(x)=x-2 3 Write… - Vidyadip

Question

The function $f$ and $g$ are defined by $f(x)=6 x+8 ; g(x)=\frac{x-2}{3}$
Write an expression for $g f(x)$ in its simplest form

✓

Answer

$g f(x)=g[f(x)]$
$=g(6 x+8)$
$=\frac{6 x+8-2}{3} $
$ =\frac{6 x+6}{3} $
$ =\frac{6(x+1)}{3} $
$g f(x)=2(x+1)$

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