What is the domain of f(x)=(3x+5)/((2x-7)) ?

The domain of f(x)=(3x+5)/((2x-7)) is x 7/2

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domain of f(x)=(3x+5)/((2x-7))

domain

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

f (x) = \frac{5}{x}

2 x + 3

y = - 3 x + 4

1 - x^{2}

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

What is the domain of f(x)=(3x+5)/((2x-7)) ?
The domain of f(x)=(3x+5)/((2x-7)) is x< 7/2 \lor x> 7/2