Question

F(x)=3x-1 and g(x)=2x+3 and find f(g(3))

Answer 1

Explanation:

First we evalaute g(x) at x = 3

`g(3)=2(3)+3`
`\begin{gathered} =6+3 \\ =9 \end{gathered}`

`g(3)=9`

Now we evaluate F(g(3)) by putting in g(3) = 9.

`f(g(x))=3g(x)-1`
`f(g(3))=3g(3)-1`
`=3\cdot9-1`
`\begin{gathered} =27-1 \\ =26 \end{gathered}`

Hence,

`f(g(x))=26`

which is our answer!