Home
Class 12
MATHS
The function f : A rarr B given by f(x) ...

The function `f : A rarr B` given by f(x) = `x, x in A`, is one to one but not onto, Then,

A

`B sub A`

B

A = B

C

`A' sub B'`

D

`A sub B`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

Show that the modulus function f: R rarr R given by f(x) = |x| , is neither one-one nor onto.

Prove that the function f: R rarr R given by f(x)=2 x is one-one and onto.

Prove that the greatest integer function f : R rarrR given by f(x) =[x] is neither one-one nor onto, where [x] denotes the greatest integer less than or equal to x.

Prove that the function f: N rarr N , defined by f(x)=x^2+x+1 is one-one but not onto.

The function f:NtoN given by f(x)=2x

Show that the function f:R rarr R given by f(x)=x^3 is injective.

Let A = R - {-3} and B = R - {1} Consider the function f : A rarr B defined by f(x) = (x-2)/(x-3) . Is f one-one and onto ? Justify your answer.

If the function f :R rarr A given by f(x) = x^2/(x^2+1) is surjection , then find A.

Show that the function f : R_** rarr R_** defined by f (x) = 1/x is one-one and onto,where R_** is the set of all non-zero real numbers. Is the result true, if the domain R_** is replaced by N with co-domain being same as R_** ?