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

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

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

domain

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

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

y = 21 x + 9 x^{2} - x^{3}

f (x) = lo g_{10} (- (x - 5)) + 4

f (x) = - 1 + lo g_{2} (x - 5)

f (x) = 2 x^{2} - x, x > 1

y = \frac{1}{( 1 - \frac{( 1 - x )}{x} )}

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