What is the domain of f(x)= 1/(\sqrt[5]{x-6)} ?

The domain of f(x)= 1/(\sqrt[5]{x-6)} is x 6

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domain of f(x)= 1/(\sqrt[5]{x-6)}

domain

x < 6 or x > 6

Interval Notation

(- \infty, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

x = 6

The function domain

x < 6 or x > 6

(- \frac{3}{5}, - \frac{11}{3}), (\frac{11}{2}, \frac{7}{4})

\frac{1 - 5 x}{4 + x}

f (x) = \frac{x ^{2} - x - 2}{- x ^{2} - 4 x - 4}

f (x) = x + 8

f (x) = 0.05 x + 20 + \frac{125}{x}

What is the domain of f(x)= 1/(\sqrt[5]{x-6)} ?
The domain of f(x)= 1/(\sqrt[5]{x-6)} is x<6\lor x>6