What is the domain of f(x)=(x+3)/(x-4) ?

The domain of f(x)=(x+3)/(x-4) is x 4

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domain of f(x)=(x+3)/(x-4)

domain

f (x) = \frac{x + 3}{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

f (x) = \frac{2 x - 8}{x ^{2} - 9 x + 20}

f (x) = \frac{( 5 x - 2 )}{3 x + 6}

f (x) = 4 x - 3

f (x) = (x - 3)^{2} - 4

f (x) = e^{- 7 x}

What is the domain of f(x)=(x+3)/(x-4) ?
The domain of f(x)=(x+3)/(x-4) is x<4\lor x>4