Question

Helpp plzzzz

f(x)=x/2 - 3 and g(x)= 3x^2 + x - 6,find (f + g )(x)

A.4x^2 - 9

B.3x^2 + 3/2x - 3

C.3x^2 - 1/2 x - 3

D.3x^2 + 3/2 x - 9

Answer 1

D. 3x^2 + 3/2 x - 9

Explanation:

(f+g)(x) = f(x) + g(x)

... = ((1/2)x -3) + (3x² +x -6) . . . . . substitute for f(x) and g(x)

... = 3x² +x(1/2 + 1) + (-3 -6) . . . . . combine like terms

... = 3x² +(3/2)x -9 . . . . . matches selection D