Answer:
Step-by-step explanation:
Given are two functions f and g defined as
[tex]f(x) =\sqrt{x} \\g(x) = x^3+8[/tex]
we have to find the composition of functions in all orders
1) [tex]a)(fog)(x)=f{g(x)}=f(x^3+8) =\sqrt{x^3+8} \\\\(fog)(2) = =4,-4[/tex]
[tex]b) (fof)(x) = f{f(x)}=f(\sqrt{x} {=\sqrt[4]{x} \\\\When x=25, ans= \sqrt{5}[/tex]
[tex]c) (gof)(x) = g(\sqrt{x}) = (\sqrt{x})^3+3 = x^{\frac{3}{2} } +8\\\\d)(fog)(x)=f{g(x)}=f(x^3+8)[/tex]
