SOLUTION: Find the domain of the function. g(x) = x / x^2-64 a. {x|x ≠ 0} b. {x|x > 64} c. {x|x ≠ -8, 8} d. all real numbers

Algebra ->  Functions -> SOLUTION: Find the domain of the function. g(x) = x / x^2-64 a. {x|x ≠ 0} b. {x|x > 64} c. {x|x ≠ -8, 8} d. all real numbers       Log On


   

Question 1061078: Find the domain of the function.
g(x) = x / x^2-64
a. {x|x ≠ 0}
b. {x|x > 64}
c. {x|x ≠ -8, 8}
d. all real numbers
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
If you meant g(x) = x /(x^2-64) =+x+%2F%28x%5E2-64%29=x%2F%28%28x%2B8%29%28x-8%29%29 ,
g%28x%29 is undefined for x=8 and x=-8 ,
because those values of x make the denominator zero,
so the right answer is c.

If you really meant g(x) = x / x^2-64 =x+%2F+x%5E2-64 ,
then the function is undefined only for x=0 ;
the domain is %22%7B+x+%7C%22x%3C%3E0%22%7D%22 ,
and the right answer is a.