What is the domain of f(x)=(5x+3)/(3x-4) ?

The domain of f(x)=(5x+3)/(3x-4) is x 4/3

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domain of f(x)=(5x+3)/(3x-4)

domain

f (x) = \frac{5 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{2}{x ^{2} + 1}

f (x) = (4 x - 3)^{\frac{1}{2}}

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

f (x) = \frac{100}{x}

6 x - x^{2} + 7

What is the domain of f(x)=(5x+3)/(3x-4) ?
The domain of f(x)=(5x+3)/(3x-4) is x< 4/3 \lor x> 4/3