What is the domain of f(x)=ln(((2-x))/x) ?

The domain of f(x)=ln(((2-x))/x) is 0<x<2

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domain of f(x)=ln(((2-x))/x)

domain

f (x) = ln (\frac{( 2 - x )}{x})

0 < x < 2

Interval Notation

(0, 2)

Solution steps

Find positive values for logs:

0 < x < 2

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

0 < x < 2

\frac{[ 2 - x ]}{[ x ^{2} - 1 ]}

f (x) = \frac{x - 8}{x ( x - 9 )}

3 y + 6 x = 9

1 (x + 4)^{2} - 2

y = x^{2} + \frac{48}{5}

What is the domain of f(x)=ln(((2-x))/x) ?
The domain of f(x)=ln(((2-x))/x) is 0<x<2