Which one of the following function is not invertible? Options: A . &nbspf:R→R,f(x)=3x+1 B . &nbspf:R→[0,∞),f(x)=x2 C . &nbspf:R+→R+,f(x)=1x3 D . &nbspNone of the above

Which one of the following function is not invertible?

Question

Which one of the following function is not invertible?

Options:

A . f:R→R,f(x)=3x+1

B . f:R→[0,∞),f(x)=x2

C . f:R+→R+,f(x)=1x3

D . None of the above

Answer: Option B
:
B
The function f(x) =

x^{2}

, x

ϵ

R is not one – one because
f(-4)=f (4) = 16

∴

It is not invertible

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