jmc

Question

Given that f(x) = x^2-2x+5 and g(x) =x+3, what is the value of f(g(5)) -g(f(5))?

Accepted Answer

Since g(5) = 5+3=8 and f(5) = 5^2 - 2(5) + 5 = 25-10+5 = 20, we have f(g(5)) -g(f(5)) = f(8) - g(20) = 8^2 - 2(8) + 5 - (20+3) = 64 - 16 + 5 - 23 = 30.