Answer:
22
Step-by-step explanation:
So we have the two functions:
[tex]f(n)=3n-5\text{ and } g(n)=2n-1[/tex]
And we want to find (fog)(5). This is the same as:
[tex](f\circ g)(5)=f(g(5))[/tex]
So, find g(5) first:
[tex]g(5)=2(5)-1\\[/tex]
Multiply and subtract:
[tex]g(5)=10-1=9[/tex]
So, we can substitute:
[tex]f(g(5))=f(9)[/tex]
Find the value:
[tex]f(9)=3(9)-5[/tex]
Multiply and subtract:
[tex]f(9)=27-5=22[/tex]
So:
[tex](f\circ g)(5)=22[/tex]
And we're done!
