Home
Class 12
MATHS
Let S = {a,b,c} and T ={1,2,3}. Find F ^...

Let `S = {a,b,c} and T ={1,2,3}.` Find `F ^(-1)` of the following F from S to T, if exists.
(i) `F = {(a,3), (b,2), (c,1)}`
(ii) `F = {(a,2), (b,1), (c,1)}`

Text Solution

Verified by Experts

The correct Answer is:
`(i) F ^(-1) = {3,a) , (2,b) ,(1,c) } ,(ii) F ^(-1) ` does not exist
Promotional Banner

Similar Questions

Explore conceptually related problems

Let S = {1,2,3}. Determine whether the functions f : S to S defined as below have inverses. Find f ^(-1), if it exists. (a) f = {(1,1), (2,2), (3,3)} (b) f = {(1,2), (2,1),(3,1)} (c ) f { (1,3), (2,3),(2,1)}

Which of the following function from Z to itself are bijections? f(x)=x^3 (b) f(x)=x+2 f(x)=2x+1 (d) f(x)=x^2+x

f and h are function from A rarr B, where A = {a, b, c, d} and B = {s, t, u} defined as follows f(a) = t, f (b) = s, f(c ) = s f(d) = u, h(a) = s, h(b) = t h(c ) = s, h(a) = u, h(d) = u Which one of the following statement is true?

Let A = {x: -1lexle1} = B for each of the following functions from A to B . Find whether it is surjective, injective or bijective (i) f(x) = (x)/(2) (ii) g(x) = |x|

If X = { 1 , 2 , 3} and Y = {0 , 1} and f : X to Y defined by f = { (1 , 1) , (2 , 1) , (3, 0) } , then f is

f: Z to Z is a linear function defined by f={(1,1),(0,-1),(2,3)} , find f(x)

Let A = {1,2,3},B ={4,5,6,7} and let f = {(1,4), (2,5), (3,6)} be function from A to B. Show that f is one-one.

Let f(x) = ( 2x+1)/(1-3x) , then f^-1 (x) =

Plot these points on the Cartesian plane. (i) A (-4,0) (ii)B (0,5) (iii) C (3 -4) (iv) D (-2,5) (v) E (-1,-1) (vi) F (3,5)