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

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

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

domain

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

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

y = - tan (x - \frac{π}{3})

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

2 x - 3 x^{\frac{2}{3}}

x^{2} - 25

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