What is the domain of f(x)=(x+8)/(4-x) ?

The domain of f(x)=(x+8)/(4-x) is x 4

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domain of f(x)=(x+8)/(4-x)

domain

f (x) = \frac{x + 8}{4 - x}

x < 4 or x > 4

Interval Notation

(- \infty, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4

The function domain

x < 4 or x > 4

\frac{1}{x - 2}

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

y = 5 x + 9

f (x) = e^{x + 4} + 7

27 x - 42 y = - 49

What is the domain of f(x)=(x+8)/(4-x) ?
The domain of f(x)=(x+8)/(4-x) is x<4\lor x>4