Question

Question #8471c

Answer 1

The original powers of the 2 brackets are `1/2` i.e. square roots. You can still see them when you open the question. For some reason they appear as ones!

Explanation:

`2<=x<=4`

Your function is the sum of two square roots. Your square roots cannot have negative argument (you cannot find a real number which is solution of a negative square root).
So you must avoid negative arguments; so it must be:
`2x-4>=0` and (at the same time) `-5x+20>=0`

The first gives you: `x>=2`
The second gives you: `x<=4`
BUT, they have to work together in your function!

The shaded region (`2<=x<=4`) is where your function can accept values of `x`.