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

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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)   (Show Source): You can put this solution on YOUR website!
If the function is , then we can plug in any real number we want.
There is no worry about the denominator being zero.
Why not? Because solving 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.

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