What is the domain of f(x)= 3/(x^2+9)+7/(x^2-25) ?

The domain of f(x)= 3/(x^2+9)+7/(x^2-25) is x 5

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domain of f(x)= 3/(x^2+9)+7/(x^2-25)

domain

f (x) = \frac{3}{x ^{2} + 9} + \frac{7}{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

f (x) = \frac{x ^{2} + 9 x + 20}{4 x + 16}

x^{3} + x

f (x) = 5 x

f (x) = (x - 3)^{2}

(- 3.3) (- 5.12)

What is the domain of f(x)= 3/(x^2+9)+7/(x^2-25) ?
The domain of f(x)= 3/(x^2+9)+7/(x^2-25) is x<-5\lor-5<x<5\lor x>5