Which one of the following function is not invertible? Options: A . &nbsp f : R → R , f ( x ) = 3 x + 1 B . &nbsp f : R → [ 0 , ∞ ) , f ( x ) = x 2 C . &nbsp f : R + → R + , f ( x ) = 1 x 3 D . &nbsp N o n e o f t h e a b o v e

Which one of the following function is not invertible?

Question -

Which one of the following function is not invertible?

Options:

A .

f : R \to R, f (x) = 3 x + 1

B .

f : R \to [0, \infty), f (x) = x^{2}

C .

f : R^{+} \to R^{+}, f (x) = \frac{1}{x^{3}}

D .

N o n e o f t h e a b o v e

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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