What is the domain of f(x)= 6/(sqrt(6x+4)) ?

The domain of f(x)= 6/(sqrt(6x+4)) is x>-2/3

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domain of f(x)= 6/(sqrt(6x+4))

domain

f (x) = \frac{6}{6 x + 4}

x > - \frac{2}{3}

Interval Notation

(- \frac{2}{3}, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - \frac{2}{3}

Find undefined (singularity) points:

x = - \frac{2}{3}

Combine real regions and undefined points for final function domain

x > - \frac{2}{3}

f (x) = 7 x + 36

- \frac{x - 2}{3} + 1

7 x^{4} + 5 x

f (x) = - x^{(2)} + 3 x

y = \frac{- 5 x ^{2} - 7 x}{6 x - 16}

What is the domain of f(x)= 6/(sqrt(6x+4)) ?
The domain of f(x)= 6/(sqrt(6x+4)) is x>-2/3