What is the domain of f(x)= 7/(sqrt(4x+2)) ?

The domain of f(x)= 7/(sqrt(4x+2)) is x>-1/2

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domain of f(x)= 7/(sqrt(4x+2))

domain

f (x) = \frac{7}{4 x + 2}

x > - \frac{1}{2}

Interval Notation

(- \frac{1}{2}, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - \frac{1}{2}

Find undefined (singularity) points:

x = - \frac{1}{2}

Combine real regions and undefined points for final function domain

x > - \frac{1}{2}

What is the domain of f(x)= 7/(sqrt(4x+2)) ?
The domain of f(x)= 7/(sqrt(4x+2)) is x>-1/2