What is the domain of f(x)= 1/(sqrt(2-3x)) ?

The domain of f(x)= 1/(sqrt(2-3x)) is x< 2/3

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domain of f(x)= 1/(sqrt(2-3x))

domain

f (x) = \frac{1}{2 - 3 x}

x < \frac{2}{3}

Interval Notation

(- \infty, \frac{2}{3})

Solution steps

Find non-negative values for radicals:

x \leq \frac{2}{3}

Find undefined (singularity) points:

x = \frac{2}{3}

Combine real regions and undefined points for final function domain

x < \frac{2}{3}

What is the domain of f(x)= 1/(sqrt(2-3x)) ?
The domain of f(x)= 1/(sqrt(2-3x)) is x< 2/3