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

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

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domain of f(x)=arcsin(2x-3)

domain

f (x) = arcsin (2 x - 3)

1 \leq x \leq 2

Interval Notation

[1, 2]

Solution steps

Find known functions domain restrictions:

1 \leq x \leq 2

The function domain

1 \leq x \leq 2

y = ∣ x + 1 ∣

f (x) = 10 (4 - x)

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

f (x) = x^{3} + 6 x^{2} + 8 x

y = - \frac{3}{x}

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