What is the domain of f(x)=arcsin(3x+1) ?

The domain of f(x)=arcsin(3x+1) is -2/3 <= x<= 0

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domain of f(x)=arcsin(3x+1)

domain

f (x) = arcsin (3 x + 1)

- \frac{2}{3} \leq x \leq 0

Interval Notation

[- \frac{2}{3}, 0]

Solution steps

Find known functions domain restrictions:

- \frac{2}{3} \leq x \leq 0

The function domain

- \frac{2}{3} \leq x \leq 0

f (x) = 2 x - 18

x + 12

f (x) = 2 tan (4 x)

f (x) = x^{3} - 3 x + 5

x (9 - 2 x) (12 - 2 x)

What is the domain of f(x)=arcsin(3x+1) ?
The domain of f(x)=arcsin(3x+1) is -2/3 <= x<= 0