What is the domain of y=(3x^2+5x+9)/(x^2-25) ?

The domain of y=(3x^2+5x+9)/(x^2-25) is x 5

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domain of y=(3x^2+5x+9)/(x^2-25)

domain

y = \frac{3 x ^{2} + 5 x + 9}{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

3 x^{2} - 30 x + 77

(x - 1) + (4 x^{2})

f (x) = ∣ x + 2 ∣ + 4, - 5 \leq x \leq 2

f (x) = \frac{1}{64 - 25 x ^{2}}

y = \frac{x - 5}{x ^{2} - 9}

What is the domain of y=(3x^2+5x+9)/(x^2-25) ?
The domain of y=(3x^2+5x+9)/(x^2-25) is x<-5\lor-5<x<5\lor x>5