What is the domain of f(x)= 1/(x-2)+5/(x+1) ?

The domain of f(x)= 1/(x-2)+5/(x+1) is x 2

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domain of f(x)= 1/(x-2)+5/(x+1)

domain

f (x) = \frac{1}{x - 2} + \frac{5}{x + 1}

x < - 1 or - 1 < x < 2 or x > 2

Interval Notation

(- \infty, - 1) \cup (- 1, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = - 1

The function domain

x < - 1 or - 1 < x < 2 or x > 2

+ x^{3} - 5 x

t + 5

(\frac{x ^{2}}{4} - \frac{x}{2} - \frac{1}{4})^{2}

f (x) = 3 x^{2} - 2 x + 8

What is the domain of f(x)= 1/(x-2)+5/(x+1) ?
The domain of f(x)= 1/(x-2)+5/(x+1) is x<-1\lor-1<x<2\lor x>2