Question

For f(x) = 3x+ 1 and g(x) = x2 - 6, find (f+g)(x).

Answer 1

Answer:

B. x² + 3x - 5

Step-by-step explanation:

$(f+g)(x)=f(x)+g(x)\\\\\text{Substitute}\ f(x)=3x+1,\ g(x)=x^2-6:\\\\(f+g)(x)=(3x+1)+(x^2-6)\qquad\text{combine like terms}\\\\(f+g)(x)=x^2+3x+(1-6)\\\\(f+g)(x)=x^2+3x-5$

Answer 2

Your answer would be option B. x+3x-5