Answer:
26
Step-by-step explanation:
Given f(x) = 4x^2 - 3x + 1
and g(x) = x - 2
find f(g(5))
First off, since we're entering g(x) into f(x) as its x-value, we have to substitute f(x)'s x's as g(x).
4(x - 2)^2 - 3(x - 2) + 1
But, since g(x)'s x-value is equal to 5, we have to plug that in as its x-value.
4(5 - 2)^2 - 3(5 - 2) + 1
Now, we simplify.
4(3)^2 - 3(3) + 1
4(9) - 3(3) + 1
36 - 9 + 1
36 - 10
= 26
