Doman $\frac{ex}{g(x)}=5x,$ of a$.$

MAB$220$ Test on $1\mathrm{.}7,18$ functions

Name:

Five functions are defined as follows:

$f(x)=\frac{3x}{x-4},g(x)=\sqrt[\phantom{2}]{6-x}h(x)=x^2-3$

$f(x)=3x+1$

$k(x)=5x^2+4$

$4.$ Find $f(j(x))$

$5.$ Find $f(j(-2))$

$6.$ Find

$7.$ Express $g(x)$ as the composition of two functions called $m$ and $p,$ such that $g(x)=m(p(x))$

$8.$ Find $k^{-1}(x).$ Show all steps.