Question

F(-2)=-3 and g(-2)=5Find (f+g)(-2)and (f/g)(-2)

Answer 1

We are given:

$\begin{gathered} f(-2)\text{ = -3 and} \\ g(-2)\text{ = 5} \end{gathered}$

(a) (f + g)(-2):

Recall that:

$(f+g)(x)\text{ = f(x) + g(x)}$

Applying this:

$\begin{gathered} (f+g)(-2)\text{ = f(-2) + g(-2)} \\ =\text{ -3 + 5} \\ =\text{ 2} \end{gathered}$

Hence: (f + g)(-2) = 2

(b) (f/g)(-2):

Recall that:

$(\frac{f}{g})(x)\text{ = }\frac{f(x)}{g(x)}$

$\begin{gathered} (\frac{f}{g})(-2)\text{ = }\frac{f(-2)}{g(-2)} \\ =\text{ }\frac{-3}{5} \\ =\text{ -}\frac{3}{5} \end{gathered}$

Hence, (f/g)(-2) = -3/5