Question

Find f(g(2)). f(x)=−2x2+4x+6g(x)=2x−3

Answer 1

f(g(2)) = 8

Explanation:

To find f(g(2)), we first need to find g(2):

g(x) = 2x - 3

g(2) = 2(2) - 3 = 1

Now that we know g(2) is 1, we can find f(g(2)):

f(x) = -2x^2 + 4x + 6

f(g(2)) = f(1) = -2(1)^2 + 4(1) + 6 = 8

Therefore, f(g(2)) = 8