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CBSE Class 12-science Answered

Check surjectivity. Plzz
question image
Asked by prakriti12oct | 06 Jul, 2019, 12:40: AM
answered-by-expert Expert Answer
f(x) = x3
First we will check injectivity of the function.
If f(x1) = f(x2)
begin mathsize 16px style straight x subscript 1 superscript 3 space equals straight x subscript 2 superscript 3
straight x subscript 1 equals straight x subscript 2 end style
Hence, function is injective.
Let us check for surjectivity.
f(x) = y = x3
then x = begin mathsize 16px style cube root of straight y end style
Hence given function is injective and surjective.
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