What is the domain of f(x)=(3x-5)/(4-2x) ?

The domain of f(x)=(3x-5)/(4-2x) is x 2

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domain of f(x)=(3x-5)/(4-2x)

domain

f (x) = \frac{3 x - 5}{4 - 2 x}

x < 2 or x > 2

Interval Notation

(- \infty, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2

The function domain

x < 2 or x > 2

y = \frac{x}{x ^{2} - 9}

\frac{x ^{3} - 1}{\frac{1}{x}}

f (x) = \frac{x ^{3} + x + 8}{x ^{4} - 1}

f (x) = x + 5 = 0

\frac{x ^{2} - 3}{x ^{3} - 27}

What is the domain of f(x)=(3x-5)/(4-2x) ?
The domain of f(x)=(3x-5)/(4-2x) is x<2\lor x>2