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Q.

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

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a

Domain = R+, Range = (−∞, 1]

b

Domain = R, Range = (−∞, 2]

c

Domain = R, Range = (−∞, 2)

d

Domain = R+, Range = (−∞, 2]

answer is B.

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Detailed Solution

|x| defines for any valuex-5≥0⇒-x-5≤0⇒2-x-5≤2 range is (-∞,2]
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The domain and range of the function f given by f(x)=2−x−5 is