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

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

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

domain

g (x) = \frac{2 x + 3}{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}

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

f (x) = - - 2 x + 16 + 1

\frac{x ^{2} - 1}{x ^{2} + 1}

\frac{x - 1}{2 - x}

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