What is the domain of (5x)/((3x-2)^2) ?

The domain of (5x)/((3x-2)^2) is x 2/3

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domain of (5x)/((3x-2)^2)

domain

\frac{5 x}{( 3 x - 2 ) ^{2}}

x < \frac{2}{3} or x > \frac{2}{3}

Solution steps

Find undefined (singularity) points:

x = \frac{2}{3}

The function domain

x < \frac{2}{3} or x > \frac{2}{3}

f (x) = \frac{3 x + 2}{x - 7}

\frac{x ^{2} - 2}{x - 2 x ^{2} - 6}

x - 3 - x

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

f (x) = - 6 x - 8

What is the domain of (5x)/((3x-2)^2) ?
The domain of (5x)/((3x-2)^2) is x< 2/3 \lor x> 2/3