What is the domain of f(x)=(5-x)/(x^2-25) ?

The domain of f(x)=(5-x)/(x^2-25) is x 5

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domain of f(x)=(5-x)/(x^2-25)

domain

f (x) = \frac{5 - x}{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{2 - 3 x}{12 - ∣ x - 12 ∣}

f (x) = \frac{( 4 x + 7 ) - 4}{( 4 x + 7 ) + 1}

arcsin (4 x)

f (x) = - \frac{12}{x + 4}

- 5 x^{2} - 30 x - 42

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