Question

If 8(x) = -2 and g(x) = 2x2 + x = 3, find ( +g)(x).

A. 2x2 + 2x-5
B. x - 6
C. 2x - 3+1
D. 2x2 + x +1

Answer 1

`(f+g)(f)=f(x)+g(x)\\\\\\f(x)=(x)/(2)-2\\g(x)=2x^2+x-3\\\\(f+g)(x)=(x)/(2)-2+2x^2+x-3\\(f+g)(x)=2x^2+(x)/(2)+(2x)/(2)-5\\(f+g)(x)=2x^2+(3x)/(2)-5\\(f+g)(x)=2x^2+(3)/(2)x-5`