differentiation

Question

5/x^2-49,find the domain

Answer 1

I am going to assume the denominator has parenthesis.

f(x) = 5/(x²-49) Factor it

f(x) = 5/[(x-7)(x+7)] Set the factors equal to zero and solve

x-7=0

x=7

x+7=0

x=-7



These are vertical assymptotes. The function cannot be defined at these values. So the domain would be:

(-∞,-7)∪(-7,7)∪(7,∞)