What is the domain of (2x^2-3)/(x^2+2x+1) ?

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

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domain of (2x^2-3)/(x^2+2x+1)

domain

\frac{2 x ^{2} - 3}{x ^{2} + 2 x + 1}

x < - 1 or x > - 1

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = - 1

The function domain

x < - 1 or x > - 1

f (x) = \frac{7}{x ^{2} + 49}

f (x) = x^{2} + 4 x - 3

3 x - 15

x^{2} + 81

\frac{3 x + 3}{2 x + 4}

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