Question

4. (02.08 MC)

Let
f(x) = 2x²5x - 7
and
g(x) = x² - 2.
Find f(g(x)). Show each step of your work. (10 points)

Answer 1

Explanation:

`f(x) = 2x^(2) + 5x - 7\\\\g(x) = x^(2) -2\\ \\f(g(x)) = 2(x^(2)-2) + 5(x^(2) -2) - 7\\ \\= 2x^(2) - 4 +5x^(2) -10 - 7\\= 2x^(2) + 5x^(2) -4-10-7\\\\\\f(g(x)) = 7x^(2) -21`