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

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

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

domain

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

x < 0 or 0 < x < 49 or x > 49

Interval Notation

(- \infty, 0) \cup (0, 49) \cup (49, \infty)

Solution steps

Find undefined (singularity) points:

x = 49, x = 0

The function domain

x < 0 or 0 < x < 49 or x > 49

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