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

The domain of f(x)=sqrt(x+1)+2/x is -1 0

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

domain

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

- 1 \leq x < 0 or x > 0

Interval Notation

[- 1, 0) \cup (0, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 1

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

- 1 \leq x < 0 or x > 0

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

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

2 x^{2} - 8 x + 6

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

f (x) = \frac{x ^{2} - 3 x + 2}{x ^{2} - 7 x + 6}

What is the domain of f(x)=sqrt(x+1)+2/x ?
The domain of f(x)=sqrt(x+1)+2/x is -1<= x<0\lor x>0