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

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

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

domain

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

x > - 1

Interval Notation

(- 1, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 1

Find undefined (singularity) points:

x = - 1

Combine real regions and undefined points for final function domain

x > - 1

f (x) = (x - 10) 3 + 4

x^{3} - 2 x^{2} - 4 x + 6

f (x) = \frac{x ^{2} - 11 x - 24}{x ^{2} - 9}

f (x) = 5 x^{3} + 6 x^{2} - 1

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

What is the domain of f(x)=(x^2-2x+1)/(sqrt(x+1)) ?
The domain of f(x)=(x^2-2x+1)/(sqrt(x+1)) is x>-1