What is the domain of f(x)= 2/((3x)-4) ?

The domain of f(x)= 2/((3x)-4) is x 4/3

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domain of f(x)= 2/((3x)-4)

domain

f (x) = \frac{2}{( 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}

x^{\frac{1}{5}}

\frac{x ^{2} + 12 x + 32}{x ^{2} - 2 x - 15}

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

5 x - 15

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

What is the domain of f(x)= 2/((3x)-4) ?
The domain of f(x)= 2/((3x)-4) is x< 4/3 \lor x> 4/3