What is the domain of arcsin(5x-1) ?

The domain of arcsin(5x-1) is 0<= x<= 2/5

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domain of arcsin(5x-1)

domain

arcsin (5 x - 1)

0 \leq x \leq \frac{2}{5}

Interval Notation

[0, \frac{2}{5}]

Solution steps

Find known functions domain restrictions:

0 \leq x \leq \frac{2}{5}

The function domain

0 \leq x \leq \frac{2}{5}

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

y = sin (arcsin (x))

\frac{1}{( x - 6 ) ^{2}}

f (x) = \frac{1}{( x + 4 ) x + 6}

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