What is the domain of f(x)=(x-2)/(x^3-49x) ?

The domain of f(x)=(x-2)/(x^3-49x) is x 7

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domain of f(x)=(x-2)/(x^3-49x)

domain

f (x) = \frac{x - 2}{x ^{3} - 49 x}

x < - 7 or - 7 < x < 0 or 0 < x < 7 or x > 7

Solution steps

Find undefined (singularity) points:

x = 0, x = - 7, x = 7

The function domain

x < - 7 or - 7 < x < 0 or 0 < x < 7 or x > 7

- x - 2 y = 4, (2, 3)

f (x) = \frac{e ^{x}}{1 + 6 e ^{x}}

2 x + 3 + 1

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

f (x) = 4 (x + 1)

What is the domain of f(x)=(x-2)/(x^3-49x) ?
The domain of f(x)=(x-2)/(x^3-49x) is x<-7\lor-7<x<0\lor 0<x<7\lor x>7