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


   

Question 1061021: Find the domain of the function.
g(x) = x / x^2+2
a. {x|x ≠ 0}
b. {x|x > 64}
c. {x|x ≠ -8, 8}
d. all real numbers
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If the function is g%28x%29+=+x%2F%28x%5E2%2B2%29, then we can plug in any real number we want.
There is no worry about the denominator being zero.
Why not? Because solving x%5E2%2B2=0 leads to nonreal solutions. So it's impossible to plug in some real number to get the denominator be zero.

That's why the final answer is D) all real numbers.