What is the domain of f(x)=(x-4)/(5-x) ?

The domain of f(x)=(x-4)/(5-x) is x 5

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domain of f(x)=(x-4)/(5-x)

domain

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

f (x) = (x + 7)^{3} - 2

f (x) = 2^{x}

f (x) = 4 x - 3

y = 3 sin (π x + 2) - 3

What is the domain of f(x)=(x-4)/(5-x) ?
The domain of f(x)=(x-4)/(5-x) is x<5\lor x>5