If f(x) = 2x + 3 and g(x) = x – 5, what is f○g?

To find the composition of the functions f and g, denoted as f○g, you substitute g(x) into f(x).

Here are the steps:

1. Write down the function f(x) = 2x + 3.
2. Replace 'x' in f(x) with the function g(x) = x - 5. This gives you f(g(x)) = 2(g(x)) + 3.
3. Now substitute x - 5 for g(x) in the equation from step 2. This gives you f(g(x)) = 2(x - 5) + 3.
4. Simplify the right side of the equation to get f(g(x)) = 2x - 10 + 3.
5. Further simplify to get f(g(x)) = 2x - 7.

So, f○g = 2x - 7.