Question

The domain and range of the function f(x)=2-|x-5| given by is​

Answer 1

Answer:

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Answer 2

Answer:

solution :

Doman=R,Range=(−∞,2]

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].