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

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

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

domain

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

- 1 \leq x < 3 or x > 3

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \geq - 1

Find undefined (singularity) points:

x = 3

Combine real regions and undefined points for final function domain

- 1 \leq x < 3 or x > 3

\frac{1}{7} x^{2}

y = \frac{2 x ^{2} - 2 x - 8}{( x + 4 ) ^{2}}

12 x + 3

sin (4 x + π)

\frac{x - 2}{x + 3}

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