What is the domain of f(x)=sqrt(x)ln(x-4) ?

The domain of f(x)=sqrt(x)ln(x-4) is x>4

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domain of f(x)=sqrt(x)ln(x-4)

domain

f (x) = x ln (x - 4)

x > 4

Interval Notation

(4, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 0

Find positive values for logs:

x > 4

Combine real regions and undefined points for final function domain

x > 4

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

f (x) = \frac{x}{2 x - 5} = 1

f (x) = \frac{( 8 x + 5 )}{( 4 x + 2 )}

2 arctan (4 x)

arcsin (ln (2 x))

What is the domain of f(x)=sqrt(x)ln(x-4) ?
The domain of f(x)=sqrt(x)ln(x-4) is x>4