What is the domain of 5/(2sqrt(5x+6)) ?

The domain of 5/(2sqrt(5x+6)) is x>-6/5

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domain of 5/(2sqrt(5x+6))

domain

\frac{5}{2 5 x + 6}

x > - \frac{6}{5}

Interval Notation

(- \frac{6}{5}, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - \frac{6}{5}

Find undefined (singularity) points:

x = - \frac{6}{5}

Combine real regions and undefined points for final function domain

x > - \frac{6}{5}

8 x^{3}

f (x) = x - 2

y = 4 x + 7 y = 4 x + 7

2 x - 4

f (x) = (\frac{- 3 - 4 x}{2 + 2 x})