Question

F(x) = ax2 - 12, g(x) = 2x +3, and f(3) = 24. What is the value of g(f(2)) ?

Answer 1

Step-by-step explanation:

Answer is 11 I think......

Answer 2

Answer:    g(f(2))  = 11

Step-by-step explanation:

g(f(2)) is substituting the value of f(2) for x in g(x). But we must first find f(2).

We know that f (x) = ax² - 12

Since f(3) = 24

  ⇒ a(3²) - 12 = 24

       9 a  = 36

          a  = 4

∴ f(2) = (4)(2²) - 12

         =  4

 

⇒ g(f(2)) = 2(4) + 3

             = 11