SOLUTION: what is the natural domain of x^2-25 and g(x)=sqrt of x-2 over sqrt of x^2-25

SOLUTION: what is the natural domain of x^2-25 and g(x)=sqrt of x-2 over sqrt of x^2-25

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Question 388956: what is the natural domain of x^2-25 and g(x)=sqrt of x-2 over sqrt of x^2-25
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
sqrt(x-2)/sqrt(x^2-25)
.
Numerator x>=2 to avoid sqrt of a negative number.
Denominator:
factor (x-5)(x+5)
x>5 to avoid division by zero if x=5 and x>5 so no sqrt of a negative number.
.
X(5, infinity)
.
Ed
.

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