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

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

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

domain

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

ln (3 x + 1)

cos (arcsin (2 x))

tan (θ) - sin (θ) - cos (2 θ)

f (x) = \frac{2 x ^{3} - 5}{x ^{2} + 2 x - 8}

y = 2^{x - 5}

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