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

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

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

domain

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

x < 5 or x > 5

Interval Notation

(- \infty, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 5

The function domain

x < 5 or x > 5

\frac{2 x}{x ^{2} - 1}

2 x + 3 y = 9

\frac{1}{x ^{2} + x + 3}

\frac{4 x}{x + 4}

x + 3 y = 8

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