Q.
Let f:R→R, be defined as f(x)=ex2+cosx, then f is
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a
one-one and onto
b
one-one and into
c
many-one and onto
d
many-one and into
answer is D.
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Detailed Solution
fx = ex2+cos x is even function , so it is not one-one i.e many one also fx is not onto since ex2≥1 ⇒ex2+cosx >0 Range of fx is 0,∞ which is not equal to codomain R hence f is into
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