So,
To compose a function with another, substitute the inside function into every place where x appears in the outer function.
For (h * h)(x), substitute h(x) for every x in the outer function, h(x).
[tex]h(x)=\frac{6}{x}-->(h^oh)(x)=\frac{6}{\frac{6}{x}}=6*\frac{x}{6}=x[/tex]
For (f * f)(x), substitute f(x) for every x in the outer function, f(x).
[tex]f(x)=x^2-5-->(f^of)(x)=(x^2-5)^2-5=x^4-10x^2+20[/tex]
Hope this helps!
