Question

Given that f(x) = 2x + 1 and g(x) = the quantity of 3x minus 1, divided by 2 , solve for g(f(3)).

Answer 1

10

Explanation:

Firstly, find the value of f(3)

⇒
`f(3) = 2(3) + 1` [sub in 3]

⇒
`f(3) = 7` [multiply by 2 and add 1]

Now, find g(f(3))

⇒
`g(f(3)) = (3(7) - 1)/(2)` [sub in 7]

⇒
`g(f(3)) = (20)/(2)` [multiply by 3 and subtract 1]

⇒
`g(f(3)) = 10` [divide by 2]