Answer:
[tex](z\circ h\circ s)(x)=\dfrac{3}{4(2^{x})-8}[/tex]
Step-by-step explanation:
We are given the following in the question:
[tex]h(x) = 4x\\s(x) 2^{x}\\z(x) = \dfrac{3}{x-8}[/tex]
We have to evaluate:
[tex](z\circ h\circ s)(x)[/tex]
Evaluation:
[tex](z\circ h\circ s)(x)\\=z(h(s(x)))\\\\=z(h(2^{x}))\\\\=z(4(2^{x}))\\\\\Rightarrow (z\circ h\circ s)(x)=\dfrac{3}{4(2^{x})-8}[/tex]
is the required function.