Question

Given: f(n) = 3n-5 and g(n) = 2n-1
Find: (fog)(5​

Answer 1

22

Explanation:

So we have the two functions:

`f(n)=3n-5\text{ and } g(n)=2n-1`

And we want to find (fog)(5). This is the same as:

`(f\circ g)(5)=f(g(5))`

So, find g(5) first:

`g(5)=2(5)-1\\`

Multiply and subtract:

`g(5)=10-1=9`

So, we can substitute:

`f(g(5))=f(9)`

Find the value:

`f(9)=3(9)-5`

Multiply and subtract:

`f(9)=27-5=22`

So:

`(f\circ g)(5)=22`

And we're done!