What is the domain of g(x)=(x+3)/(x^2-25) ?

The domain of g(x)=(x+3)/(x^2-25) is x 5

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domain of g(x)=(x+3)/(x^2-25)

domain

g (x) = \frac{x + 3}{x ^{2} - 25}

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

Interval Notation

(- \infty, - 5) \cup (- 5, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 5, x = - 5

The function domain

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

y = \frac{1}{x - 2} + 6

f (x) = \frac{1}{( x - 2 ) ( x + 1 ) ( x + 2 )}

\frac{x ^{2} + 13 x + 42}{x ^{2} - 3 x - 28}

\frac{( 12 x - 4 )}{( 7 - 6 x )}

\frac{1 - 3 a}{7}

What is the domain of g(x)=(x+3)/(x^2-25) ?
The domain of g(x)=(x+3)/(x^2-25) is x<-5\lor-5<x<5\lor x>5