Question

If f(x) = 2x + 1 and g(x) = x2 + 5, what is g(f(2))?

Answer 1

Answer: 30

Step-by-step explanation:

First find f(2)

f(2) = 2(2) + 1 = 4 + 1 = 5

Therefore g(f(2)) = g(5)

Now solve for g(5)

g(5) = (5)² + 5 = 25 + 5 = 30

Answer 2

Answer:

30 if that is an $x^{2}$ in g(x)

Step-by-step explanation:

f(2) = 2x + 1

      = 2(2) + 1

      = 4 + 1

f(2) = 5      

g(5) = $x^{2}$ + 5

      = $5^{2}$ + 5

      = 25 + 5

g(5) = 30