Question

If f(x)=2x; g(x)=2x2-1, find f(g(3)).

Answer 1

you have:

f(x) = 2x

g(x) = 2x² - 1

in order to calculate f(g(3)), first evaluate g(3):

g(3) = 2(3)² - 1 = 2(9) - 1 = 18 - 1 = 17

next, calculate f(17):

f(17) = 2(17) = 34

Hence:

f(g(3)) = 34