What is the domain of (5x-10)/(27-6x) ?

The domain of (5x-10)/(27-6x) is x 9/2

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domain of (5x-10)/(27-6x)

domain

\frac{5 x - 10}{27 - 6 x}

x < \frac{9}{2} or x > \frac{9}{2}

Interval Notation

(- \infty, \frac{9}{2}) \cup (\frac{9}{2}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{9}{2}

The function domain

x < \frac{9}{2} or x > \frac{9}{2}

y = \frac{2}{5} x + 1, (10, - 8)

x^{2} + 5 x

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

f (x) = 3^{x - 2}

3 x + y = - 2

What is the domain of (5x-10)/(27-6x) ?
The domain of (5x-10)/(27-6x) is x< 9/2 \lor x> 9/2