Types Of Functions

We have,

f%3A%20R%20%5Crightarrow%20R

, defined by

f(x)%3De%5E%7Bx%7D

and

g%3A%20R%20%5Crightarrow%20R

defined by

g(x)%3Dx%5E%7B2%7D

Now, We have

(g%20o%20f)(x)%20%3Dg(f(x))

%3Dg%5Cleft(e%5E%7Bx%7D%5Cright)

%3D%5Cleft(e%5E%7Bx%7D%5Cright)%5E%7B2%7D

%3De%5E%7B2%20x%7D%2C%20%5Cforall%20x%20%5Cin%20R

%5CRightarrow%20gof

is injective and

g

is neither injective nor surjective.

%5CRightarrow%20gof

is injective but

g(x)

is not bijective.

Chapter Questions
1 MCQs