tylerequitz tylerequitz

09-07-2022
Mathematics

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What is the domain of the function y= 2√x-6?
0-00 O 0 O 3 O 6≤x<∞

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2138pratyush 2138pratyush

09-07-2022

Given f(x)=2−∣x−5∣

Domain of f(x) is defined for all real values of x.

Since, ∣x−5∣≥0⟹−∣x−5∣≤0

⟹2−∣x−5∣≤2⟹f(x)≤2

Hence, range of f(x) is (−∞,2].

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