Answer:
(f + g)(x) = 5x² + 2x - 5
Domain: All real numbers
(f - g)(x) = -5x² + 2x - 5
Domain: All real numbers
(fg)(x) = 10x³ - 25x²
Domain: All real numbers
(f/g)(x) = [tex]\frac{2x-5}{5x^2}[/tex]
Domain: (negative infinity, 0)U(0, positive infinity)
Step-by-step explanation:
For f + g, we are simply adding the 2 together
Domain: All values of x work, as any value x outputs any value y
For f - g, we are simply subtracting the 2 together
Domain: All values of x work, as any value x outputs any value y
For f times g, we are simply multiplying (distributing) the 2 together
Domain: All values of x work, as any value x outputs any value y
For f divided by g, we are simply dividing (fraction) the 2 together
Domain: All values except for 0 work (undefined error), so asymptote at x = 0
