If f(x)=2x+1 and g(x)=3x-5, find f(g(2)).

g(2) = 3(2) - 5 = 1

so f(g(2))
= f(1) = 2(1) + 1 = 3

Thank you, I get it much better now!

To find f(g(2)), we need to evaluate g(2) first and then substitute the result into the function f(x).

Given g(x) = 3x - 5, let's find g(2):

g(2) = 3(2) - 5
= 6 - 5
= 1

Now that we have g(2) = 1, we can substitute this value into f(x) = 2x + 1:

f(g(2)) = f(1)
= 2(1) + 1
= 2 + 1
= 3

Therefore, f(g(2)) is equal to 3.