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

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

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

domain

f (x) = \frac{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) = \frac{( x ^{2} - 4 x + 4 )}{x ^{2} - 4}

f (x) = - 2 x^{2} + 3 x - 1

+ 6 y - y^{2} - 2

f (x) = 3 - 2 x + 1

72 - x^{2} + x

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