Question

Q5. A function f: RR defined by f(x) = x VX E R. and also a function R
R :defined by
f(x) = \*.V.XER. Graphically explain the behaviour of these functions.​

Answer 1

Step-by-step explanation:

For a function f(x) to be invertible, the function must be one-one and onto.

The range of f(x)=∣x∣ is [0,∞), while the co-domain of f(x) is given as R. Hence f(x) is not onto.

Also, since f(x)=f(−x), f(x) is also not one-one in its domain.

Hence, f(x) is not invertible, ie, the function f

−1

(x) does not exist.

Option C is the right answer.