f(x) = 3x - 1. g(x) = x + 4. h(x) = x2. Then (h o f)(x) =
We can ignore g(x) above, giving us,
f(x) = 3x – 1, h(x) = x^2. Then (h o f)(x) =
Since (h o f)(x) means h(f(x)), where h(f(x)) is the function h() with f(x) as its argument, then
since h(x) = x^2, then h(f) = f^2, i.e.
h(f(x)) = (f(x))^2 = (3x – 1)^2
h(f(x)) = 9x^2 – 6x + 1.
Comparing the last result with the possible answers given, the correct choice is,
Option F) 9x^2 – 6x + 1