Question

Let f(x) = 4 – x^2, g(x) = 2 – x. Find (f + g)(x) and its domain.

Answer 1

Step-by-step explanation:

$f(x)=4-x^2,\ g(x)=2-x\\\\(f+g)(x)=f(x)+g(x)\\\\\text{therefore}\\\\(f+g)(x)=(4-x^2)+(2-x)=-x^2-x+(4+2)=-x^2-x+6\\\\\text{It's the quadratic function. The domain is the set of all real numbers}\ x\in\mathbb{R}$