What is the domain of f(x)=(2x+3)/(5x-2) ?

The domain of f(x)=(2x+3)/(5x-2) is x 2/5

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domain of f(x)=(2x+3)/(5x-2)

domain

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

x < \frac{2}{5} or x > \frac{2}{5}

Interval Notation

(- \infty, \frac{2}{5}) \cup (\frac{2}{5}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{2}{5}

The function domain

x < \frac{2}{5} or x > \frac{2}{5}

f (x) = ln (x) (49 - x^{2})

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

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

\frac{x ^{2} + 2}{3}

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

What is the domain of f(x)=(2x+3)/(5x-2) ?
The domain of f(x)=(2x+3)/(5x-2) is x< 2/5 \lor x> 2/5