What is the domain of (-8x+75)/(9x-61) ?

The domain of (-8x+75)/(9x-61) is x 61/9

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domain of (-8x+75)/(9x-61)

domain

\frac{- 8 x + 75}{9 x - 61}

x < \frac{61}{9} or x > \frac{61}{9}

Interval Notation

(- \infty, \frac{61}{9}) \cup (\frac{61}{9}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{61}{9}

The function domain

x < \frac{61}{9} or x > \frac{61}{9}

f (x) = \frac{3 x ^{2} + 6 x + 3}{x ^{2} + x}

f (x) = 1 + x^{2}

x + 3

f (x) = e^{x + 3}

e^{x - 5}

What is the domain of (-8x+75)/(9x-61) ?
The domain of (-8x+75)/(9x-61) is x< 61/9 \lor x> 61/9