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

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

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

domain

\frac{4}{1 - x}

x < 1

Interval Notation

(- \infty, 1)

Solution steps

Find non-negative values for radicals:

x \leq 1

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

x < 1

3 x + 17

y = g (x) = 5 + 2 e^{x}

y = \frac{x - 1}{3 x ^{2} - 75}

\frac{x ^{2} - 9 x}{x ^{2} - 81}

x^{2} + x - x