What is the domain of y=(x-2)/(-2x+7) ?

The domain of y=(x-2)/(-2x+7) is x 7/2

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domain of y=(x-2)/(-2x+7)

domain

y = \frac{x - 2}{- 2 x + 7}

x < \frac{7}{2} or x > \frac{7}{2}

Interval Notation

(- \infty, \frac{7}{2}) \cup (\frac{7}{2}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{7}{2}

The function domain

x < \frac{7}{2} or x > \frac{7}{2}

What is the domain of y=(x-2)/(-2x+7) ?
The domain of y=(x-2)/(-2x+7) is x< 7/2 \lor x> 7/2