What is the domain of ((x-3))/((2x-7)) ?

The domain of ((x-3))/((2x-7)) is x 7/2

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domain of ((x-3))/((2x-7))

domain

\frac{( x - 3 )}{( 2 x - 7 )}

x < \frac{7}{2} or x > \frac{7}{2}

Interval Notation

(- \infty, \frac{7}{2}) \cup (\frac{7}{2}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{7}{2}

The function domain

x < \frac{7}{2} or x > \frac{7}{2}

- x - 4

f (x) = 2 - x

f (x) = x + 1, 3 \leq x > 5

f (x) = x + x - 2

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

What is the domain of ((x-3))/((2x-7)) ?
The domain of ((x-3))/((2x-7)) is x< 7/2 \lor x> 7/2