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`f: { 1, 2, 3, 4} -> {1, 4, 9, 16} and g: {1, 4. 9, 16) ->{1,1/2,1/3,1/4}` are two bijective functions such that `x_1 gt x_2 => f(x_1) lt f(x_2),g(x_1) gt g(x_2)` then `f^-1(g^-1(1/2))` is equal toA. 1B. 4C. 16D. 2 |
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Answer» Correct Answer - D Clearly, f is decreasing and g is increasing `therefore f(1)=16, f(2)=9, f(3)=4 and f(4)=1` `and, g(1)=(1)/(4), g(4)=(1)/(3),g(9)=(1)/(2) and g(16)=1` `therefore f^(-1)(g^(-1)((1)/(2)))=f^(-1)(9)=2` |
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