Home
Class 12
MATHS
Let f:R rarr R and g: RrarrR be two giv...

Let `f:R rarr R and g: RrarrR ` be two given functions such that f is injective and g is surjective. Then which of the following is injective? a)gof b)fog c)gog d)None of these

A

gof

B

fog

C

gog

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

Check the injectivity and surjectivity of the following functions f:RtoR given by f(x)=[x]

Check the injectivity and surjectivity of the following functions f:NtoN defined by f(x)=x^3

Check the injective and surjective of the following functions : f : R rarr R given by f(x) = x^2

Check the injective and surjective of the following functions : f : Z rarr Z given by f(x) = x^2

Check the injective and surjective of the following functions : f : Z rarr Z given by f(x) = x^3

Check the injective and surjective of the following functions : f : N rarrN given by f(x) = x^2

Let f:RtoR,g:RtoR be two one-one functions. Check whether gof is one-one or not.

If f and g are one-one functions, then a)f + g is one-one b)f g is one-one c)fog is one-one d)none of these

Let f:RrarrR be defined as f(x) = 10x+7 Find the function g:RrarrR such that gof = fog = I_R