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

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

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

domain

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

- 4 \leq x < 1 or x > 1

Interval Notation

Solution steps

Find non-negative values for radicals:

x \geq - 4

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

- 4 \leq x < 1 or x > 1

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

\frac{2 - x}{( x + 1 ) ^{5}}

(x + 3)^{2}

\frac{3}{4} x + 5

f (x, y) = 5 - 2 x

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