Question

f(n)=2n+4 g(n) = 4n - 2 Find f (g(2))

Answer 1

Answer: $f(g(2))=16$

Step-by-step explanation:

Given the function $f(n)$:

$f(n)=2n+4$

And the function $g(n)$:

$g(n) = 4n - 2$

The first step we can apply is to find $g(2)$. To do it, we need to substitute $n=2$ into the function and then we must evalute. Then, this is:

$g(2) = 4(2) - 2\\\\g(2) =8 - 2\\\\g(2)= 6$

Finally, in order to find $f (g(2))$ we need to substitute $g(2)$ found above, into the function $f(n)$ and then we must evaluate.

So, we get:

$f(g(2))=2(6)+4\\\\f(g(2))=12+4\\\\f(g(2))=16$