What is the domain of (4x-21)/(-7x+67) ?

The domain of (4x-21)/(-7x+67) is x 67/7

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domain of (4x-21)/(-7x+67)

domain

\frac{4 x - 21}{- 7 x + 67}

x < \frac{67}{7} or x > \frac{67}{7}

Interval Notation

(- \infty, \frac{67}{7}) \cup (\frac{67}{7}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{67}{7}

The function domain

x < \frac{67}{7} or x > \frac{67}{7}

\frac{3}{x + 2}

f (x) = (x^{3} - 5)^{\frac{1}{3}} - 3

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

- x^{4} + 11 x^{2} - 18

f (x) = sin (x)

What is the domain of (4x-21)/(-7x+67) ?
The domain of (4x-21)/(-7x+67) is x< 67/7 \lor x> 67/7