Question 214737
Note: *[Tex \LARGE (f \circ g)(x) = f(g(x))]


{{{f(x)=(-x+1)^(1/2)^""}}} Start with the given function.



{{{f(g(x))=(-(x^2-8)+1)^(1/2)^""}}} Plug in {{{g(x)=x^2-8}}}



{{{f(g(x))=(-x^2+8+1)^(1/2)^""}}} Distribute



{{{f(g(x))=(-x^2+9)^(1/2)^""}}} Combine like terms.



So *[Tex \LARGE (f \circ g)(x) = \left(-x^2+9\right)^{\frac{1}{2}}]