Question

F( x) = 3 x + 2 and g( x) = 2 x + 5. Find f ∘ g(5)

Please show your work

Answer 1

f ∘ g(5) = 47

Explanation:

We are given the following functions:

`f(x) = 3x + 2, g(x) = 2x + 5`

Composite function:

The problem asks their composite function at x = 5. So

`f \circ g = f(g(x)) = f(2x + 5) = 3(2x + 5) + 2 = 6x + 15 + 2 = 6x + 17`

`f(g(5)) = 6(5) + 17 = 30 + 17 = 47`

We have that f ∘ g(5) = 47