Published by:
CGP EDU Academic Team
Published on: August 12, 2026
If 
be defined as 
, then
A
f is many-one
B
f is into
C
D
Text Solution
Verified by ExpertsThe correct answer is:
D
Let us check for invertibility of f(x)
one-one: we have, 
, which is strictly increasing as e 4x > 0 for all x.
Thus, f is one-one
Onto: Let y = f (x)
, where y is strictly monotonic
Hence, the range of f (x) = 
range of f(x) = 
So, the range of f (x) = co-domain
Hence, f (x) is one-one and onto
To find 
Since, 
is always positive, so neglecting negative sign.
Hence, 
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