What is the domain of f(x)=(4x)/(5(x-1)(x-8)) ?

The domain of f(x)=(4x)/(5(x-1)(x-8)) is x 8

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domain of f(x)=(4x)/(5(x-1)(x-8))

domain

f (x) = \frac{4 x}{5 ( x - 1 ) ( x - 8 )}

x < 1 or 1 < x < 8 or x > 8

Interval Notation

(- \infty, 1) \cup (1, 8) \cup (8, \infty)

Solution steps

Find undefined (singularity) points:

x = 1, x = 8

The function domain

x < 1 or 1 < x < 8 or x > 8

5 x + 25

f (x) = \frac{( 2 x - 7 )}{( x - 3 )}

y = \frac{x + 7}{x ^{2} + 1}

y = tan (2 x)

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

What is the domain of f(x)=(4x)/(5(x-1)(x-8)) ?
The domain of f(x)=(4x)/(5(x-1)(x-8)) is x<1\lor 1<x<8\lor x>8