What is the domain of (36x^2+81x)/((9x-4)^2) ?

The domain of (36x^2+81x)/((9x-4)^2) is x 4/9

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domain of (36x^2+81x)/((9x-4)^2)

domain

\frac{36 x ^{2} + 81 x}{( 9 x - 4 ) ^{2}}

x < \frac{4}{9} or x > \frac{4}{9}

Interval Notation

(- \infty, \frac{4}{9}) \cup (\frac{4}{9}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{4}{9}

The function domain

x < \frac{4}{9} or x > \frac{4}{9}

What is the domain of (36x^2+81x)/((9x-4)^2) ?
The domain of (36x^2+81x)/((9x-4)^2) is x< 4/9 \lor x> 4/9