Question

I need to find all the values of x that are not in the domain of h. f(x)=(x+7)/(x^(2)+14x+49)

Answer 1

do you mean domain of f ?

Answer 2

yeah, I do sorry about that.

Answer 3

the values you want to exclude from the domain are the values that make the denominator zero

Answer 4

so what values of x make x^2 + 14x + 49 = 0 true?

Answer 5

Hint: x^2 + 14x + 49 factors to (x+7)(x+7)

Answer 6

x=7, -7?

Answer 7

just -7 actually

Answer 8

(x+7)(x+7) = 0

x+7 = 0 or x+7 = 0

x = -7 or x = -7

x = -7

Answer 9

so -7 is the only value that makes x^2 + 14x + 49 equal to zero

Answer 10

that means -7 is the only number that's not in the domain of f

Answer 11

Okay thanks. It's been years since I've had a math class and this algebra is kicking my rear.

Answer 12

well just kick it back harder and you'll be fine

Answer 13

:) Thanks again for the help

Answer 14

you're welcome