Question

Given that f(x) = x squared + 3x + 6 and g(x) = x - 3 / 2 , solve for f(g(x)) when x = 1

Answer 1

Explanation:

We want to evaluate f(g(1))

So g(x) = (x - 3)/2 and when x =1, g(1) = (1 - 3) /2 = -2/2 = -1

So f(g(1)) = f(-1) = (-1)^2 + 3(-1) + 6 = 1 - 3 + 6 = 4