What is the domain of arcsin((x-2)/3) ?

The domain of arcsin((x-2)/3) is -1<= x<= 5

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domain of arcsin((x-2)/3)

domain

arcsin (\frac{x - 2}{3})

- 1 \leq x \leq 5

Interval Notation

[- 1, 5]

Solution steps

Find known functions domain restrictions:

- 1 \leq x \leq 5

The function domain

- 1 \leq x \leq 5

f (x) = \frac{x + 5}{x - 8}

f (x) = 5 x - 7 + 3

f (x) = 2 - ∣ x - 3 ∣

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

f (x) = \frac{6 t - 1}{t ^{2} + 7}

What is the domain of arcsin((x-2)/3) ?
The domain of arcsin((x-2)/3) is -1<= x<= 5