What is the domain of f(x)=(6+x)/(3x)=(4x-8)/(5x) ?

The domain of f(x)=(6+x)/(3x)=(4x-8)/(5x) is x 0

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domain of f(x)=(6+x)/(3x)=(4x-8)/(5x)

domain

f (x) = \frac{6 + x}{3 x} = \frac{4 x - 8}{5 x}

x < 0 or x > 0

Interval Notation

(- \infty, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0

The function domain

x < 0 or x > 0

y = 6 x + 8

f (x) = \frac{2}{3 x ^{2} + 9}

f (x) = e^{2}

z

g

What is the domain of f(x)=(6+x)/(3x)=(4x-8)/(5x) ?
The domain of f(x)=(6+x)/(3x)=(4x-8)/(5x) is x<0\lor x>0