What is the domain of f(x)=(x-3)^{-1/4} ?

The domain of f(x)=(x-3)^{-1/4} is x>3

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domain of f(x)=(x-3)^{-1/4}

domain

f (x) = (x - 3)^{- \frac{1}{4}}

x > 3

Interval Notation

(3, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 3

Find undefined (singularity) points:

x = 3

Combine real regions and undefined points for final function domain

x > 3

ln (x + 7)

ln (x + 8)

f (x) = \frac{3 x - 2}{3 x + 1}

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

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

What is the domain of f(x)=(x-3)^{-1/4} ?
The domain of f(x)=(x-3)^{-1/4} is x>3