Question

Suppose that the functions g and h are defined for all real numbers x as follows. g(x)-2x^2 and h(x)=4x write the expressions for (g+h)(x) and (g-h)(x) and evaluate (g*h)(2)

Answer 1

What you're attempting here is called "addition of functions."

(g+h)(x) is the sum of g(x) = 2x^2 and h(x)=4x.

This sum is found by adding like terms:


g(x) = 2x^2
+h(x) = + 4x
------------------
g(x)+h(x) = 2x^2 + 4. That's it.

Try finding (g-h)(x).

I'll be back, but it may be 15-30 minutes or more. Good luck!