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

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

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

domain

f (x) = \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

y = x^{2}

(- 10, - 1), (- 6, 7)

(- 1, 0), (- 3, - 4)

f (x) = 6 x^{3} - 6 x - 2 x^{2} + 2

\frac{x + 1}{x - 2}

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