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

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

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

domain

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

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

∣ x - 3 ∣ + x - - x

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

f (x) = \frac{x + 6}{12 - x ^{2} - 25}

f (x) = - \frac{1}{x - 3} + 2

f (x) = - 2 x + 1

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