Question

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

Answer 1

Answer:

22

Step-by-step 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!