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

The domain of f(x)=(x+3)/(x^2+2x-3) is x 1

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

domain

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

x < - 3 or - 3 < x < 1 or x > 1

Interval Notation

(- \infty, - 3) \cup (- 3, 1) \cup (1, \infty)

Solution steps

Find undefined (singularity) points:

x = 1, x = - 3

The function domain

x < - 3 or - 3 < x < 1 or x > 1

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

x^{3} + 4

x y = 5

x^{2} ln (\frac{x}{8})

f (x) = x^{2} - 6 x + 10

What is the domain of f(x)=(x+3)/(x^2+2x-3) ?
The domain of f(x)=(x+3)/(x^2+2x-3) is x<-3\lor-3<x<1\lor x>1