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

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

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

domain

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

x < \frac{3}{2} or x > \frac{3}{2}

Interval Notation

(- \infty, \frac{3}{2}) \cup (\frac{3}{2}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{3}{2}

The function domain

x < \frac{3}{2} or x > \frac{3}{2}

ln (\frac{1}{1 - x})

f (x) = \frac{4 x}{10 - 2 x - 46}

f (x) = \frac{2100 + 8 x}{1 + 0.5 x} + 150

f (x) = e^{8 x + 5}

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

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