Home
Class 12
MATHS
Let A={a,b,c,d} and f: A rarr A be defin...

Let `A={a,b,c,d} and f: A rarr A` be defined by, `f(a)=d, f(b)=a, f(c)=b and f(d)=c`. State which of the following is equal to `f^(-1)(b)`?

A

`{a}`

B

`{b}`

C

`{c}`

D

`{d}`

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • MAPPING OR FUNCTION

    CHHAYA PUBLICATION|Exercise EXERCISE 2 C ( Vary short answer quations)|8 Videos

  • MAPPING OR FUNCTION

    CHHAYA PUBLICATION|Exercise EXERCISE 2 C ( short answer quations)|8 Videos

  • MAPPING OR FUNCTION

    CHHAYA PUBLICATION|Exercise EXERCISE 2 B ( short answer type questions )|9 Videos

  • LOGARITHM

    CHHAYA PUBLICATION|Exercise Long Answer Type Question|12 Videos

  • MATHEMATICAL REASONING

    CHHAYA PUBLICATION|Exercise JEE Main (AIEEE) Archive (2016 )|1 Videos

Similar Questions

Explore conceptually related problems

Let A ={a,b,c, d,e} and f: A rarr A be defined by f(a)=d, f (b) =a,f(c) =d, f(d) =b and f(e)=d find (i) f^(-1)(b) (ii) f^(-1) (e) (iii) f^(-1) (d) and (iv) f^(-1) {a,b} .

Let f: d rarr R be defined by f(X)=In (In(In(In x))) then

If X= { a, b, c, d } and Y = { f, b, d, g} , find X – Y

Let A=R-{3}, B=R-{1} and f: A rarr B defined by f(x)=(x-2)/(x-3) . Is 'f' bijective ? Give reason.

Let the mapping f: A rarr B and g: B rarr C be defined by f(x)=5/x -1 and g(x)=2+x Find the product mapping ( g o f ).

Consider f: {1,2,3} to {a,b,c} given by f (1) =a , f (2) =b and f (3)=c. Find f ^(-1) and show that (f ^(-1)) ^(-1) =f.

The function f maps the set A={a,b,c,d} into itself, such that f(a)=b,f(b)=d,f(c)=a, f(d)=c . Find the composition ( f o f )

Let the function f and g be defined by , f={(a,b),(c,e),(d,a)} and g= {(b,c),(e,a),(a,c)} Show that ,(g o f ) and (f o g) are both defined. Also find (g o f) and (f o g) as sets of ordered pairs.

Identify A, B, C, D, E and F in the following reaction.

Identify A, B, C, D, E and F in the following reaction.