What is the domain of y=(x^2+x-38)/(x^2-25) ?

The domain of y=(x^2+x-38)/(x^2-25) is x 5

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domain of y=(x^2+x-38)/(x^2-25)

domain

y = \frac{x ^{2} + x - 38}{x ^{2} - 25}

x < - 5 or - 5 < x < 5 or x > 5

Solution steps

Find undefined (singularity) points:

x = 5, x = - 5

The function domain

x < - 5 or - 5 < x < 5 or x > 5

\frac{x ^{2} + 6 x + 5}{x ^{2} - 25}

h (x) = ln (x + 3)

\frac{x}{x + 6}

y = \frac{2 x ^{2} + 6 x + 4}{- 3 x - 5}

\frac{x ^{2} - x - 20}{x ^{2} - x + 2}

What is the domain of y=(x^2+x-38)/(x^2-25) ?
The domain of y=(x^2+x-38)/(x^2-25) is x<-5\lor-5<x<5\lor x>5