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

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

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

domain

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

\frac{- 2 x ^{3} + 9 x ^{2} - 27}{3 x ^{2} - 9}

f (x) = 4 x^{2} + 4 x + 1

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

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

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

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