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प्रश्न
In the following case state whether the function is bijective or not. Justify your answer
f: R → R defined by f(x) = 3 – 4x2
उत्तर
f(x) = 3 – 4x2
f(1) = 3 – 4(1)2 = 3 – 4 = – 1
f(2) = 3 – 4(2)2 = 3 – 16 = – 13
f(3) = 3 – 4(3)2 = 3 – 36 = – 33
f(4) = 3 – 4(42) = 3 – 64 = – 61
It is not a bijective function.
The positive numbers “R” does not have a negative pre-image in X in R.
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