0 Let's study "Mathematics" with each other! (5) Posted by Sahar on September 7, 2011 If we have: f(x)=√{1-√(x-1)} Then,Which one is the range of f(x)? 1- [0,1]2- [0,3/2)3- [1/2,1[4- [1/2,3/2) You need to be a member of MyEnglishClub to add comments! Join MyEnglishClub Email me when people reply – Follow
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Solution:
Let y= f(x)
y =√{1-√(x-1)} ≥0
Then we have:
y^2 =1-√(x-1)
(y^2)-1 = -√(x-1)
(y^2)-1 ≤ 0
Then:
y≥0 & (y^2)-1 ≤ 0
And the answer is [0,1]
Yes!!
Well done!
You are very clever.
Always trust on yourself, please.
They aren't hard questions, Sue, but you are answering all of them right.
Very good.