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

The domain of f(x)=ln^{1/x}(x) is x>= 1

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domain of f(x)=ln^{1/x}(x)

domain

f (x) = ln^{\frac{1}{x}} (x)

x \geq 1

Interval Notation

[1, \infty)

Solution steps

Find positive values for logs:

x > 0

Check exponents domain:

x \geq 1

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x \geq 1

f (x) = - 3 - 2 (x - 3) + 4

e^{x - 3}

f (x) = - 6 x + 36

\frac{1 - 2 x}{x ^{2} - 9}

f (x) = \frac{( 3 x + 1 )}{x + 8}

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