What is the domain of sqrt(x+4)-(1-x)/x ?

The domain of sqrt(x+4)-(1-x)/x is -4 0

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domain of sqrt(x+4)-(1-x)/x

domain

x + 4 - \frac{1 - x}{x}

- 4 \leq x < 0 or x > 0

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \geq - 4

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

- 4 \leq x < 0 or x > 0

f (x) = \frac{x + 4}{- 2 x - 6}

f (x) = \frac{400 + 280 x}{x}

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

\frac{5880 \cdot e ^{3 x}}{( 4 + e ^{3 x} ) ^{2}}

f (x) = 4 + 9 x

What is the domain of sqrt(x+4)-(1-x)/x ?
The domain of sqrt(x+4)-(1-x)/x is -4<= x<0\lor x>0