Question

What is the domain and range of `y = (arccos(x+3))/4`?

Answer 1

The domain is `-4<=x<=-2` and the range is `0<=y<=pi/4`.

Explanation:

The ordinary domain and range of arccosine are
`-1<=x<=1` and `0<=y<=pi`, respectively.

The given function, `arccos(x+3)/4`, is shifted 3 units to the left and scaled by a factor of `1/4`.

The new domain is `-4<=x<=-2` (shifted 3 units to the left of the original) and the new range is `0<=y<=pi/4`.