If f(x)=2x+1 and g(x)=3x-5, find f(g(2)).
To find f(g(2)), we need to substitute the value 2 into the function g(x) and then substitute the resulting value into the function f(x).
First, let's find g(2):
g(x) = 3x - 5
g(2) = 3(2) - 5
g(2) = 6 - 5
g(2) = 1
Now we have g(2) = 1.
Next, let's substitute this value into the function f(x):
f(x) = 2x + 1
f(g(2)) = f(1)
f(1) = 2(1) + 1
f(1) = 2 + 1
f(1) = 3
Therefore, f(g(2)) = 3.