Question

Let f(x) = x2 – 16 and g(x) = x + 4. Find f/g and its domain.
help please? :/

Answer 1

can you factor x^2 - 16 ?

Answer 2

Not sure how to do it on my ipod calculator.

Answer 3

are you familiar with the difference of squares rule?

Answer 4

if not, then

a^2 - b^2 = (a + b)(a - b)

Answer 5

so how can you use this to factor x^2 - 16 ?

Answer 6

x + 4; all real numbers except x ≠ 4
x + 4; all real numbers except x ≠ –4
x – 4; all real numbers except x ≠ 4
x – 4; all real numbers except x ≠ –4
these are the choices.

Answer 7

ok, but how can you use a^2 - b^2 = (a + b)(a - b) to factor x^2 - 16 ?

Answer 8

Do you know why you can never divide by 0?