What is the domain of arcsin(ln(x/3)) ?

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

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domain of arcsin(ln(x/3))

domain

arcsin (ln (\frac{x}{3}))

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

Interval Notation

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

Solution steps

Find known functions domain restrictions:

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

The function domain

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

f (x) = \frac{12 + x - x ^{2}}{∣ 2 x - 5 ∣}

f (x) = \frac{5 x}{7 x - 2}

f (x) = \frac{4 - x ^{2}}{x ^{2} - 4 x + 3}

f (x) = \frac{1}{3 x - 2}

f (x) = \frac{x}{3 x - 9}

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