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

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

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

domain

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

x > 7

Interval Notation

(7, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 7

Find undefined (singularity) points:

x = 7

Combine real regions and undefined points for final function domain

x > 7

5 x^{2} - 2

f (x) = x^{4} - 12 x^{3}

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

f (x) = 200 x + 500 yy = 40000

f (x) = 78

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