What is the domain of (-4-3x)/(7x-5) ?

The domain of (-4-3x)/(7x-5) is x 5/7

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domain of (-4-3x)/(7x-5)

domain

\frac{- 4 - 3 x}{7 x - 5}

x < \frac{5}{7} or x > \frac{5}{7}

Interval Notation

(- \infty, \frac{5}{7}) \cup (\frac{5}{7}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{5}{7}

The function domain

x < \frac{5}{7} or x > \frac{5}{7}

f (x) = x^{3} - 3 x^{2} + 2 x + 1

f (x) = - x^{2}

f (x) = \frac{x ^{2} + x - 2}{x ^{2} - 3 x - 4}

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

f (x) = 3 x - 5

What is the domain of (-4-3x)/(7x-5) ?
The domain of (-4-3x)/(7x-5) is x< 5/7 \lor x> 5/7