SOLUTION: find range ? {{{sqrt(-x^2+4x-3)+sqrt(sin(pi/2*sin(pi/2)(x-1)))))}}}

Question 696709: find range ?

Answer by mouk(232) (Show Source): You can put this solution on YOUR website!
Let

Then factorising the first term and tidying up the second gives:

As we are assuming a real-valued function then both terms under the square root signs must be simultaneously positive (or zero).

Firstly consider

The solution to this is:

Secondly, consider

So in both cases, the square root terms simultaneously exist when , and this is the range.
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