What is the domain of f(x)=3arcsin(9x-54) ?

The domain of f(x)=3arcsin(9x-54) is 53/9 <= x<= 55/9

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domain of f(x)=3arcsin(9x-54)

domain

f (x) = 3 arcsin (9 x - 54)

\frac{53}{9} \leq x \leq \frac{55}{9}

Interval Notation

[\frac{53}{9}, \frac{55}{9}]

Solution steps

Find known functions domain restrictions:

\frac{53}{9} \leq x \leq \frac{55}{9}

The function domain

\frac{53}{9} \leq x \leq \frac{55}{9}

\frac{5}{3}

arcsin (\frac{x}{4})

f (x) = (\frac{5}{6})^{\frac{x ^{2} - 3 x}{x ^{2}}}

f (x) = \frac{1}{lo g _{x + 1} ( 2 )}

What is the domain of f(x)=3arcsin(9x-54) ?
The domain of f(x)=3arcsin(9x-54) is 53/9 <= x<= 55/9