What is the domain of f(x)=(x+4)/(1-x) ?

The domain of f(x)=(x+4)/(1-x) is x 1

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domain of f(x)=(x+4)/(1-x)

domain

f (x) = \frac{x + 4}{1 - x}

x < 1 or x > 1

Interval Notation

(- \infty, 1) \cup (1, \infty)

Solution steps

Find undefined (singularity) points:

x = 1

The function domain

x < 1 or x > 1

f (x) = - e^{(- x)} + e^{x}

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

\frac{1}{2} x - 30

f (y) = 7 x - 2 y = 25

(33, 75), (3, - 5)

What is the domain of f(x)=(x+4)/(1-x) ?
The domain of f(x)=(x+4)/(1-x) is x<1\lor x>1