Question

find the range f(x)= 3-|(x-3)|
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Answer 1

EXPLANATION :

Given :

$\sf \: f(x) = 3 - |(x - 3)|$

Solution :

$\: \: \: \: \: \: \: \: \: \: \: \sf \: f(x) = 3 - |(x - 3)|$

$\implies \sf \: f(x) = 3 - x - 3$

$\implies \sf \: f(x) = \cancel{3} - x + \cancel{ (- 3)}$

$\implies \sf \: x = - f(x)$

Hence, Domain € R

Hence, Range € R

HOPE THIS IS HELPFUL