What is the domain of (7x-5)/(3x-8) ?

The domain of (7x-5)/(3x-8) is x 8/3

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domain of (7x-5)/(3x-8)

domain

\frac{7 x - 5}{3 x - 8}

x < \frac{8}{3} or x > \frac{8}{3}

Interval Notation

(- \infty, \frac{8}{3}) \cup (\frac{8}{3}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{8}{3}

The function domain

x < \frac{8}{3} or x > \frac{8}{3}

f (x) = - lo g_{4} (x - 3) + 2

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

- 3^{2 x - 3} + 1

- \frac{2}{3} x - 1

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

What is the domain of (7x-5)/(3x-8) ?
The domain of (7x-5)/(3x-8) is x< 8/3 \lor x> 8/3