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

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

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

domain

f (x) = \frac{x - 5}{x - 4}

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

x^{2} + x - 6 + 4

\frac{3 x ^{2} - 7 x - 6}{x - 3}

y = \frac{1}{( x + 3 ) \cdot ( x + 2 )}

f (x) = 45 + 6 x

3 x + 2

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