What is the domain of (x-8)/(3x-4) ?

The domain of (x-8)/(3x-4) is x 4/3

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domain of (x-8)/(3x-4)

domain

\frac{x - 8}{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) = - x^{2} + 6 x - 4, 2 \leq x \leq 7

\frac{3 x ( x - 9 )}{6 x ^{2} - 41 x - 7}

\frac{x ^{2} + x}{8 x - 32}

\frac{6 x ^{2} + 19 x + 8}{x ^{4} - 98 x ^{2} + 2401}

\frac{9 x}{x ^{2} - 25}

What is the domain of (x-8)/(3x-4) ?
The domain of (x-8)/(3x-4) is x< 4/3 \lor x> 4/3