What is the domain of f(x)=((2x-1))/(5-x) ?

The domain of f(x)=((2x-1))/(5-x) is x 5

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domain of f(x)=((2x-1))/(5-x)

domain

f (x) = \frac{( 2 x - 1 )}{5 - x}

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

y = \frac{x}{x - 5}

f (x) = 3 x + 42

y = 2 x^{2} - 3

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

g (x) = 2 x + 4

What is the domain of f(x)=((2x-1))/(5-x) ?
The domain of f(x)=((2x-1))/(5-x) is x<5\lor x>5