Question

combining functionsConsider the following functions. f(x) = x^2 + 8 and g(x) = x + 6 Find (f + g)(-2)(f+g)(-2)=

Answer 1

(f + g)(-2) means:

add up f and g, then plug in x = -2 and find the answer.

SO,

(f+g)(x) is:

`(f+g)(x)=x^2+8+x+6=x^2+x+14`

Now, you put in x = -2 to get:

`\begin{gathered} (f+g)(x)=x^2+8+x+6=x^2+x+14 \\ (f+g)(-2)=(-2)^2+(-2)+14 \\ =4-2+14 \\ =2+14 \\ =16 \end{gathered}`

The ans is 16