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

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

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domain of (x-1)/(-2x+3)

domain

\frac{x - 1}{- 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}

\frac{5}{x} - 4

y = \frac{( x + 3 )}{( x + 4 )}

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

f (x) = 64 x^{3} - 12 x + 3

\frac{1 + 5 x - 2 x ^{2}}{x - 2}

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