What is the domain of f(x)=(x-4)/(sqrt(x+2)) ?

The domain of f(x)=(x-4)/(sqrt(x+2)) is x>-2

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domain of f(x)=(x-4)/(sqrt(x+2))

domain

f (x) = \frac{x - 4}{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

f (x) = \frac{x - 3}{x ^{2} - 7 x + 10}

f (x) = \frac{5 - 3 x}{2 x - 3}

- 4 - x

4^{x + 1}

f (x) = x^{2} - 81

What is the domain of f(x)=(x-4)/(sqrt(x+2)) ?
The domain of f(x)=(x-4)/(sqrt(x+2)) is x>-2