What is the domain of y=(2x+5)/(3-x) ?

The domain of y=(2x+5)/(3-x) is x 3

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domain of y=(2x+5)/(3-x)

domain

y = \frac{2 x + 5}{3 - x}

x < 3 or x > 3

Interval Notation

(- \infty, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3

The function domain

x < 3 or x > 3

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

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

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

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

f (x) = 3 + 2 x - x^{2}

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