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

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

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domain of f(x)= 5/(3x-8)

domain

f (x) = \frac{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}

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

\frac{x + 13}{x ^{4} + x ^{3} - 3 x ^{2} - 3 x}

f (x) = 7 x^{2} - 28 x - 35

f (x) = \frac{2 + 3 x}{1 - 4 x}

6 - 2 x + \frac{3}{5 x}

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