If $h(x)=2x-6$ and $h(g(x))=2-2x$ , find $g(x)$ ?

Question

1818 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-01-31T14:16:19

$g(x)=-x+4$

Let $g(x)=ax+b$ .

As $h(x)=2x-6$

$h(g(x))=2(ax+b)-6=2ax+2b-6$

but $h(g(x))=2-2x$

Therefore, $2a=-2$ i.e. $a=-1$ and $2b-6=2$ i.e. $b=4$

Hence, $g(x)=-x+4$

If h(x)=2x-6h(x)=2x-6 and h(g(x))=2-2xh(g(x))=2-2x, find g(x)g(x)?