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

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

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

domain

f (x) = \frac{4 + x}{1 - x}

- 4 \leq x < 1 or x > 1

Interval Notation

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

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

\frac{x - 3}{x + 5}

m = - \frac{8}{3}, (4, 1)

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

f (x) = 6 x - 6 x

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

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