What is the domain of f(x)=(x-7)/(x^2-36) ?

The domain of f(x)=(x-7)/(x^2-36) is x 6

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domain of f(x)=(x-7)/(x^2-36)

domain

f (x) = \frac{x - 7}{x ^{2} - 36}

x < - 6 or - 6 < x < 6 or x > 6

Interval Notation

(- \infty, - 6) \cup (- 6, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

x = 6, x = - 6

The function domain

x < - 6 or - 6 < x < 6 or x > 6

\frac{8}{x} - 5

2^{x + 3} - 4

f (x) = e^{1 - x} - 4

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

1 + ln (\frac{1 - x}{1 + x})

What is the domain of f(x)=(x-7)/(x^2-36) ?
The domain of f(x)=(x-7)/(x^2-36) is x<-6\lor-6<x<6\lor x>6