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

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

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

domain

f (x) = \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}

(0, 1), (1, - 1)

15 x^{\frac{2}{3}} - 10 x

f (x) = lo g_{2} (x + 5)

y = \frac{5}{x + 1} - 3

g (y) = 2 y + 15

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