when is (f of h)(x) if f(x)=2x^2-5 and h(x)=sqrt x-3 then simplify answer
To find (f of h)(x), first substitute h(x) into f(x):
f(h(x)) = 2(h(x))^2 - 5
= 2(sqrt x - 3)^2 - 5
= 2(x - 6) - 5
= 2x - 12 - 5
= 2x - 17
Therefore, (f of h)(x) = 2x - 17.