Question

Given f (x)
— 4x2 – 3x +1 and g(x)
= X -
2 find
d f(g(5))

Answer 1

26

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