What is the domain of (2x+10)/(sqrt(x+7)-\sqrt{2)},x>0 ?

The domain of (2x+10)/(sqrt(x+7)-\sqrt{2)},x>0 is x>0

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domain of (2x+10)/(sqrt(x+7)-\sqrt{2)},x>0

domain

\frac{2 x + 10}{x + 7 - 2}, x > 0

x > 0

Interval Notation

(0, \infty)

Solution steps

Set the domain to the given interval

x > 0

Find non-negative values for radicals:

x \geq - 7

Find undefined (singularity) points:

No real undefined points

Join with the domain:

(- 7 \leq x < - 5 or x > - 5) and x > 0

x > 0

f (t) = e^{- 2 t} sin (3 t) - 4

y = (2 x - x^{2}) \cdot (x^{3} + 4 x^{2})

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

f (x) = (x + 1) ln^{2} (x + 1)

y = 2 x^{3} - 3 x^{2} - 12 x - 8

What is the domain of (2x+10)/(sqrt(x+7)-\sqrt{2)},x>0 ?
The domain of (2x+10)/(sqrt(x+7)-\sqrt{2)},x>0 is x>0