Question

if f(x) = -5* - 4 and g(x) = -3x - 2 ,find (f + g)(x)

Answer 1

By definition you know that

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

So, in this case, you have

$\begin{gathered} f(x)=-5^x-4 \\ g(x)=-3x-2 \\ (f+g)(x)=f(x)+g(x) \\ (f+g)(x)=(-5^x-4)+(-3x-2) \\ \text{ Remove parentheses} \\ (f+g)(x)=-5^x-4-3x-2 \\ \text{ Add like terms} \\ (f+g)(x)=-5^x-3x-6 \end{gathered}$

Therefore, the correct answer is B.

$(f+g)(x)=-5^x-3x-6$