What is the domain of f(x)=(5x(x-6))/(5x^2-29x-6) ?

The domain of f(x)=(5x(x-6))/(5x^2-29x-6) is x 6

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domain of f(x)=(5x(x-6))/(5x^2-29x-6)

domain

f (x) = \frac{5 x ( x - 6 )}{5 x ^{2} - 29 x - 6}

x < - \frac{1}{5} or - \frac{1}{5} < x < 6 or x > 6

Interval Notation

(- \infty, - \frac{1}{5}) \cup (- \frac{1}{5}, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

x = 6, x = - \frac{1}{5}

The function domain

x < - \frac{1}{5} or - \frac{1}{5} < x < 6 or x > 6

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

f (x) = 8 - 6 e^{- x}

f (x) = \frac{3}{( \frac{1}{x - 2} ) + 4}

f (x) = x^{2} - 4 x + 5

f (x) = - (x - 5)^{2} - 9

What is the domain of f(x)=(5x(x-6))/(5x^2-29x-6) ?
The domain of f(x)=(5x(x-6))/(5x^2-29x-6) is x<-1/5 \lor-1/5 <x<6\lor x>6