What is the domain of f(x)=(5x-6)/(5x+40) ?

The domain of f(x)=(5x-6)/(5x+40) is x -8

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domain of f(x)=(5x-6)/(5x+40)

domain

f (x) = \frac{5 x - 6}{5 x + 40}

x < - 8 or x > - 8

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = - 8

The function domain

x < - 8 or x > - 8

x^{3} - 64

f (x) = \frac{x + 3}{8}

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

3 x - 5 - 2 x + 1

\frac{6 x}{5 x - 15}

What is the domain of f(x)=(5x-6)/(5x+40) ?
The domain of f(x)=(5x-6)/(5x+40) is x<-8\lor x>-8