Question

It f: A-R is a real valued function, find the domain of f(x) = sqrt(5 - x) + sqrt(2 - x)​

Answer 1

Answer:

Solution

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As we are given a real function, thus the domain and range should be real numbers.

(i) f(x)=−∣x∣

f(−1)=−∣−1∣=−1

f(0)=−∣0∣=0

f(1)=−∣1∣=−1

Here, x can be any real number, but f(x) will always be negative or zero.

Therefore,

Domain of function =R(All real numbers)

Range of the function = Negative real numbers