What is the domain of f(x)=sqrt(ln(x-1)+ln(5-x)) ?

The domain of f(x)=sqrt(ln(x-1)+ln(5-x)) is -sqrt(3)+3<= x<= sqrt(3)+3

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domain of f(x)=sqrt(ln(x-1)+ln(5-x))

domain

f (x) = ln (x - 1) + ln (5 - x)

- 3 + 3 \leq x \leq 3 + 3

Interval Notation

[- 3 + 3, 3 + 3]

Solution steps

Find non-negative values for radicals:

- 3 + 3 \leq x \leq 3 + 3

The function domain

- 3 + 3 \leq x \leq 3 + 3

f (x) = \frac{x ^{2} - x - 2}{x ^{2} - 7 x + 10}

2 + x - x^{2}

f (x) = x (x - 4)

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

f (x) = lo g_{2} (x - 1)

What is the domain of f(x)=sqrt(ln(x-1)+ln(5-x)) ?
The domain of f(x)=sqrt(ln(x-1)+ln(5-x)) is -sqrt(3)+3<= x<= sqrt(3)+3