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

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

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

domain

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

f (x) = - x - 3

f (x) = x + 2, x < 0

1 - 4 - x^{2}

f (x) = \frac{5 x - 6}{5 x + 35}

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