What is the domain of 1/(sqrt(1+2x)) ?

The domain of 1/(sqrt(1+2x)) is x>-1/2

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domain of 1/(sqrt(1+2x))

domain

\frac{1}{1 + 2 x}

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}

lo g_{0.5} (x)

f (x) = (x + 4)^{\frac{6}{7}}

3 x^{4} + 4 x^{3}

f (x) = 49 x - 16

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