What is the domain of f(x)=(x-1)/(25-x^2) ?

The domain of f(x)=(x-1)/(25-x^2) is x 5

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domain of f(x)=(x-1)/(25-x^2)

domain

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

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) = 6 x - x^{2}, x \leq 3

G

f (x) = (2 x + 7)^{2} - 80

f (x) = \frac{3}{x - 6}

f (x) = 2 x^{3} + 4

What is the domain of f(x)=(x-1)/(25-x^2) ?
The domain of f(x)=(x-1)/(25-x^2) is x<-5\lor-5<x<5\lor x>5