What is the domain of (x-7)/(x^2-49) ?

The domain of (x-7)/(x^2-49) is x 7

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domain of (x-7)/(x^2-49)

domain

\frac{x - 7}{x ^{2} - 49}

x < - 7 or - 7 < x < 7 or x > 7

Interval Notation

(- \infty, - 7) \cup (- 7, 7) \cup (7, \infty)

Solution steps

Find undefined (singularity) points:

x = 7, x = - 7

The function domain

x < - 7 or - 7 < x < 7 or x > 7

\frac{4 x + 7}{8 - 5 x}

(1 \frac{2}{5}, \frac{6}{5}), (\frac{7}{4}, \frac{1}{4})

(3, - 4), (5, 1)

f (x) = - cos (\frac{6 x}{7})

y = \frac{3 x}{x ^{2} - 36}

What is the domain of (x-7)/(x^2-49) ?
The domain of (x-7)/(x^2-49) is x<-7\lor-7<x<7\lor x>7