Question

4.) solve for f(g(2))

Answer 1

`f(g(2))=10`

Explanation:

We have the two functions:
`f(x)=3x-5` and
`g(x)=2+(6)/(x)`.

We want to find
`f(g(2))`.

So, let's use the second function to find
`g(2)` first:

`g(2)=2+(6)/(2)`

Divide:

`g(2)=2+3`

Add:

`g(2)=5`

Therefore, our expression is the same to
`f(g(2))=f(5)`.

Now, we can substitute 5 for f(x). This yields:

`f(5)=3(5)-5`

Multiply:

`f(5)=15-5`

Subtract:

`f(5)=10`

So:

`f(g(2))=10`

And we're done!