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

The domain of f(x)= x/(3x-4) is x 4/3

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domain of f(x)= x/(3x-4)

domain

f (x) = \frac{x}{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}

\frac{y}{y - 6} + \frac{15}{y + 6}

f (x) = 2 x^{2} - 3

y = - 2 x^{2} + 4 x + 7

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

f (x) = \frac{10 x}{x + 1}

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