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

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

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

domain

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

x > - 2

Interval Notation

(- 2, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 2

Find undefined (singularity) points:

x = - 2

Combine real regions and undefined points for final function domain

x > - 2

x^{2} - 7 x - 8

x^{6} + 2 x^{5} + 7 x^{2}

f (x) = \frac{x - 5}{x ^{2} - 4}

f (x) = \frac{2 x}{( x - 2 ) ( x - 7 )}

f (x) = - 5 x + 8

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