8. Let f(x) = (x + 1)? -1, * > -1 S...
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8. Let f(x) = (x + 1)? -1, * > -1 Statement - 1: The set {x: f(x) = f'(x)} = {0, -1) Statement - 2: fis a bijection. A satement -1 is true, Statement -2 is true; Statement -2 is a correct expla- nation for Statement - 1 (B) Statement -1 is true, Statement -2 is true; shtement -2 is not a correct explanation for Statement - 1 (c) Statement -1 is true, Statement -2 is false. (D) Statement -1 is false, Statement -2 is true. The domain of the function f(x) = x= x

JEE/Engineering Exams
Maths
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8. ( f(x)=left(x^{2}+1right)^{2}-1 quad ), ( x>-1 ) ( begin{aligned}(y+1)^{1 / 2}-1=x & text { for } f(x)=f^{prime(x)} therefore quad f^{-1}(x)=(x+1)^{1 / 2-1} &left(x^{2}+1right)^{2}+(x+1)^{4}-1 therefore(B) text { is comet } &(x+1)^{2}-(x+1)^{1 / 2}=0 end{aligned} )
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