What is the domain of (sqrt(5x-25))^{-2} ?

The domain of (sqrt(5x-25))^{-2} is x>5

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domain of (sqrt(5x-25))^{-2}

domain

(5 x - 25)^{- 2}

x > 5

Interval Notation

(5, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 5

Find undefined (singularity) points:

x = 5

Combine real regions and undefined points for final function domain

x > 5

f (x) = f (x) = \frac{x ^{2} - 1}{x ^{2} - 2 x}

f (x) = (x^{2} + 5)

f (x) = \frac{2}{4 x + 9}

f (x) = \frac{7 x}{81 - x ^{2}}

f (x) = x^{2} - 2 x - 24

What is the domain of (sqrt(5x-25))^{-2} ?
The domain of (sqrt(5x-25))^{-2} is x>5