What is the domain of ((5x+2))/(3x-4) ?

The domain of ((5x+2))/(3x-4) is x 4/3

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domain of ((5x+2))/(3x-4)

domain

\frac{( 5 x + 2 )}{3 x - 4}

x < \frac{4}{3} or x > \frac{4}{3}

Interval Notation

(- \infty, \frac{4}{3}) \cup (\frac{4}{3}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{4}{3}

The function domain

x < \frac{4}{3} or x > \frac{4}{3}

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

5 x + 3

\frac{1}{\frac{1}{x - 2} + 1}

\frac{3 x - 5}{x + 6}

\frac{4 - x}{x ^{2} - 9}

What is the domain of ((5x+2))/(3x-4) ?
The domain of ((5x+2))/(3x-4) is x< 4/3 \lor x> 4/3