SOLUTION: Give the domain of the function. f(x)=(x+8)(x-8) / x^2-64

Algebra ->  Functions -> SOLUTION: Give the domain of the function. f(x)=(x+8)(x-8) / x^2-64       Log On


   

Question 901428: Give the domain of the function.
f(x)=(x+8)(x-8) / x^2-64
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
if yo are given this:u
f%28x%29=%28%28x%2B8%29%28x-8%29%29+%2F+%28x%5E2-64%29+, you can simplify
f%28x%29=%28%28x%2B8%29%28x-8%29%29+%2F+%28x%5E2-8%5E2%29+
f%28x%29=%28%28x%2B8%29%28x-8%29%29+%2F+%28%28x-8%29%28x%2B8%29%29+
domain:
{ x element R : x%3C%3E-8 and x%3C%3E8 }
(assuming a function from reals to reals)
since f%28x%29=y=%28%28x%2B8%29%28x-8%29%29+%2F+%28%28x-8%29%28x%2B8%29%29=1+
range is:
{ y element R : y+=+1 }