If f(x)=2x+1 and g(x)=3x-5, find f(g(2)).
First g(2)
g(2)=3(2)-5
g(2)=1
Then put the previously solved one into the outer equation.
f(g(2)) = f(1)
f(1)=2(1)+1
f(1)=3
So, the answer is 3!
Hope this helps. :)
Thank you very much!!!
To find f(g(2)), we need to substitute the value of 2 into g(x) first. Then, we'll take the result of g(2) and substitute it into f(x).
Let's start by finding g(2). We substitute x = 2 into the function g(x) = 3x - 5:
g(2) = 3(2) - 5
= 6 - 5
= 1
Now, we have the value of g(2), which is 1. We'll substitute this value into f(x) = 2x + 1:
f(g(2)) = f(1)
= 2(1) + 1
= 2 + 1
= 3
Therefore, f(g(2)) = 3.