What is the domain of 1/(sqrt(4-2x)) ?

The domain of 1/(sqrt(4-2x)) is x<2

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domain of 1/(sqrt(4-2x))

domain

\frac{1}{4 - 2 x}

x < 2

Interval Notation

(- \infty, 2)

Solution steps

Find non-negative values for radicals:

x \leq 2

Find undefined (singularity) points:

x = 2

Combine real regions and undefined points for final function domain

x < 2

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

- \frac{5}{2} x + 1

- 3 x^{2} - 6

y = \frac{2 - x}{x ^{2} + x ^{3}}

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