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

f (x) = \frac{x ^{2} - 16}{x ^{2} - 11 x + 24}

f (x) = \frac{12 - ln ( 4 - x )}{x - 2}

f (x) = \frac{( x - 2 )}{( x - 1 )}

7 x^{2} + 2

\frac{lo g _{2} ( x - 4 )}{lo g _{2} ( 7 - x )}

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