What is the domain of f(x)=arccos((x+3)/2) ?

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

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domain of f(x)=arccos((x+3)/2)

domain

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

- 5 \leq x \leq - 1

Interval Notation

[- 5, - 1]

Solution steps

Find known functions domain restrictions:

- 5 \leq x \leq - 1

The function domain

- 5 \leq x \leq - 1

f (x) = \frac{3 + x}{9 - x}

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

f (x) = 9 (x - 4)^{\frac{5}{2}}

f (x) = 2 arcsin (\frac{x}{2}) + \frac{π}{4}

f (x) = \frac{1}{3} x^{2} + 2

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