If D is the domain and G is the range of the real valued function f (x )= 1-x^21+x^2, then D ∩G=

Question

Accepted Answer

Correct answer: B. (b) We have f (x )= 1-x^21+x^2 For domain of f (x ) , 1-x^21+x^2 0 ⇒x ∈ [-1 ,1 ] For range of f (x ) y= 1-x^21+x^2 On solving we get y 1 but y 0 Hence D= [-1 ,1 ] ,G= [0 ,1 ] Now D ∩G= [0 ,1 ]

$If D is the domain and G is the range of the real valued function f (x) = \frac{1 - x ^{2}}{1 + x ^{2}}, then D \cap G =$

Solution

More Sets, Relations & Functions PYQs