What is the domain of f(x)=(x-3)/(\sqrt[5]{x-2)} ?

The domain of f(x)=(x-3)/(\sqrt[5]{x-2)} is x 2

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domain of f(x)=(x-3)/(\sqrt[5]{x-2)}

domain

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

x < 2 or x > 2

Interval Notation

(- \infty, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2

The function domain

x < 2 or x > 2

f (x) = \frac{1}{36 - x}

- 2 x^{2} + 16 x - 31

lo g_{10} (4 - x)

f (x) = \frac{x + 8}{x ^{2} + 9 x + 8}

f (x) = \frac{1}{lo g _{10} ( x ^{2} - 4 )}

What is the domain of f(x)=(x-3)/(\sqrt[5]{x-2)} ?
The domain of f(x)=(x-3)/(\sqrt[5]{x-2)} is x<2\lor x>2