What is the domain of y=arccos((x-5)/2)-pi/2 ?

The domain of y=arccos((x-5)/2)-pi/2 is 3<= x<= 7

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domain of y=arccos((x-5)/2)-pi/2

domain

y = arccos (\frac{x - 5}{2}) - \frac{π}{2}

3 \leq x \leq 7

Interval Notation

[3, 7]

Solution steps

Find known functions domain restrictions:

3 \leq x \leq 7

The function domain

3 \leq x \leq 7

f (x) = 3 x - 2

3 csc (3 x + π) - 2

ln (- x^{2} + 5 x + 2)

f (x) = lo g_{5} (x - 4) + 2

\frac{30000}{100 - x}

What is the domain of y=arccos((x-5)/2)-pi/2 ?
The domain of y=arccos((x-5)/2)-pi/2 is 3<= x<= 7