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

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

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

domain

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

x < - 3 or x > - 3

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = - 3

The function domain

x < - 3 or x > - 3

f (x) = x + \frac{7}{x}

f (x) = \frac{x ^{2} - 8 x + 16}{x - 4}

y = \frac{x + 1}{x ^{2}}

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

f (x) = 8 x - 16

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