The range of f(x) = 1/√2-x is ( 0 and infinity )
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The given real function is f(x)=x−1
It can be seen that x−1 is defined for (x−1)≥0
i.e., f(x)=(x−1) is defined for x≥1
Therefore the domain of f is the set of all real numbers greater than or equal to 1 i.e.,
the domain of f =[1,∞)
As x≥1
⇒(x−1)≥0
⇒x−1≥0
f(x)≥0
Therefore the range of f is the set of all real numbers greater than or equal to 0
i.e., the range of f =[0,∞)
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