What is the domain of f(x)=(8x+2)/(sqrt(6x+6)) ?

The domain of f(x)=(8x+2)/(sqrt(6x+6)) is x>-1

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domain of f(x)=(8x+2)/(sqrt(6x+6))

domain

f (x) = \frac{8 x + 2}{6 x + 6}

x > - 1

Interval Notation

(- 1, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 1

Find undefined (singularity) points:

x = - 1

Combine real regions and undefined points for final function domain

x > - 1

What is the domain of f(x)=(8x+2)/(sqrt(6x+6)) ?
The domain of f(x)=(8x+2)/(sqrt(6x+6)) is x>-1