Problem
Find \( (f \circ g)(x) \) and \( (g \circ f)(x) \) and the domain of each. \[ f(x)=x+3, g(x)=2 x^{2}-5 x-3 \] \( (f \circ g)(x)=2 x^{2}-5 x-3 \) (Simplify your answer.)
Solution
Step 1 ：\( (f \circ g)(x) = f(g(x)) \)
Step 2 ：\( f(g(x)) = (2x^2 - 5x - 3) + 3 \)
Step 3 ：\( (f \circ g)(x) = 2x^2 - 5x \)
