What is the domain of arccos(ln(3x)) ?

The domain of arccos(ln(3x)) is 1/(3e)<= x<= e/3

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domain of arccos(ln(3x))

domain

arccos (ln (3 x))

\frac{1}{3 e} \leq x \leq \frac{e}{3}

Interval Notation

[\frac{1}{3 e}, \frac{e}{3}]

Solution steps

Find known functions domain restrictions:

\frac{1}{3 e} \leq x \leq \frac{e}{3}

The function domain

\frac{1}{3 e} \leq x \leq \frac{e}{3}

f (x) = \frac{8}{x + 7}

f (x) = \frac{3}{x ^{2} - 36}

f (x) = - 2 6 x - x^{2}

3 \frac{3 x + 2}{x + 1}

f (x) = lo g_{2} (x + 6) - 4

What is the domain of arccos(ln(3x)) ?
The domain of arccos(ln(3x)) is 1/(3e)<= x<= e/3