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

The domain of f(x)=(7x)/(x^2+x-2) is x 1

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

domain

f (x) = \frac{7 x}{x ^{2} + x - 2}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 1, x = - 2

The function domain

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

x^{3} - 3 x^{2} - 9 x + 10

(1, - 19), (8, - 14)

x = 8

arctan (x + 2)

f (x) = - 2 x^{5} - x^{4} - 9

What is the domain of f(x)=(7x)/(x^2+x-2) ?
The domain of f(x)=(7x)/(x^2+x-2) is x<-2\lor-2<x<1\lor x>1