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

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

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

domain

f (x) = \frac{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

f (x) = 4 x + 13

y = - \frac{1}{2} x - 3

y = 4 x + 5

y = - x - 7

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

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