What is the domain of f(x)=(x^2+x)/(x^2-7) ?

The domain of f(x)=(x^2+x)/(x^2-7) is x sqrt(7)

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domain of f(x)=(x^2+x)/(x^2-7)

domain

f (x) = \frac{x ^{2} + x}{x ^{2} - 7}

x < - 7 or - 7 < x < 7 or x > 7

Interval Notation

(- \infty, - 7) \cup (- 7, 7) \cup (7, \infty)

Solution steps

Find undefined (singularity) points:

x = 7, x = - 7

The function domain

x < - 7 or - 7 < x < 7 or x > 7

f (x) = 2 x^{2} - 1

y = 5 x^{2} - 20

f (x) = \frac{x + 1}{x - 4}

x^{2}

\frac{3}{9 - x ^{2}}

What is the domain of f(x)=(x^2+x)/(x^2-7) ?
The domain of f(x)=(x^2+x)/(x^2-7) is x<-sqrt(7)\lor-sqrt(7)<x<sqrt(7)\lor x>sqrt(7)