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Q.

If f:(−∞,2]⟶(−∞,4], where f(x)=x(4−x), then f−1(x) is given by :

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a

2−4−x

b

2+4−x

c

−2+4−x

d

−2−4−x

answer is A.

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Detailed Solution

f(x)=4x−x2=yx2−4x+y=0f−1(x)=2−4−x

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