The function g is such that $$ \mathrm{g}(x)=2-3 x^{4} $$ where $$ x
eq 0 $$ The function h is such that $$ \mathrm{h}(x)=\frac{3 x}{2-x} $$ where $$ x
eq 2 $$ (b) (i) Find $$ \mathrm{g}(-2) $$ (ii) Express the composite function hg in the form $$ \mathrm{hg}(x)=\ldots $$ Give your answer in its simplest form.

Question

The function g is such that $$ \mathrm{g}(x)=2-3 x^{4} $$ where $$ x 
eq 0 $$ The function h is such that $$ \mathrm{h}(x)=\frac{3 x}{2-x} $$ where $$ x 
eq 2 $$ (b) (i) Find $$ \mathrm{g}(-2) $$ (ii) Express the composite function hg in the form $$ \mathrm{hg}(x)=\ldots $$ Give your answer in its simplest form.

Greene Maxwell · Accepted Answer

**(i)** $$ \mathrm{g}(-2) = -46 $$ **(ii)** $$ \mathrm{hg}(x) = \dfrac{2}{x^{4}} - 3 $$

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