Question

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

Answer 1

Answer: 30

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

30 if that is an
`x^(2)` in g(x)

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