What is the domain of f(x)=sqrt(x+3)-1/x ?

The domain of f(x)=sqrt(x+3)-1/x is -3 0

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domain of f(x)=sqrt(x+3)-1/x

domain

f (x) = x + 3 - \frac{1}{x}

- 3 \leq x < 0 or x > 0

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \geq - 3

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

- 3 \leq x < 0 or x > 0

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

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

f (x) = \frac{2 x ^{2} - 7 x + 2}{x - 4}

f (x) = x^{\frac{6}{5}} - 12 x^{\frac{1}{5}}

- 3 x - 2 y = 6

What is the domain of f(x)=sqrt(x+3)-1/x ?
The domain of f(x)=sqrt(x+3)-1/x is -3<= x<0\lor x>0