What is the domain of f(x)=(2x+1)/(3x-4) ?

The domain of f(x)=(2x+1)/(3x-4) is x 4/3

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domain of f(x)=(2x+1)/(3x-4)

domain

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

y = - \frac{1}{2} x + 3

7 - 2 x

\frac{x ^{2} + 4}{x}

f (x) = \frac{sin ( x )}{cos ( x ) + 1}

f (x) = x + 2, x \geq 0

What is the domain of f(x)=(2x+1)/(3x-4) ?
The domain of f(x)=(2x+1)/(3x-4) is x< 4/3 \lor x> 4/3