Question

18 Domain of the function f given by f(x) = 2 -- 1x - 5] is
(1) R+
(2) R-(5)
(3) R-4-5
(4) R​

Answer 1

Step-by-step explanation:

Correct option is

B

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].