[26.1f,,(1),+-3/4,,,(2)_(+-),4/3,,,,,],[(1),,,,(4)" none ",,],[(3),+-1/3,,,,,(4)" on ",]

Let A = {1,2,3,4} and f : A to A satisfy f (1) =2, f(2)=3, f(3)=4, f (4)=1. Suppose g:A to A satisfies g (1) =3 and fog = gof , then g = (a).{(1,3), (2,1), (3,2), (4,4)} (b).{(1,3), (2,4),(3,1),(4,2)} (c).{(1,3),(2,2),(3,4),(4,3)} (d).{(1,3),(2,4),(3,2),(4,1)}

Locate the points: (1,1),(1,2),(1,3),(1,4) (2, 1),(2,2),(2,3),(2,4)(1,3),(2,3),(3,3),(4,3)(1,4),(2,4),(3,4),(4,4)

Locate the points: (1, 1), (1, 2), (1, 3), (1, 4) (2, 1), (2, 2), (2, 3), (2, 4) (1, 3), (2, 3), (3, 3), (4, 3) (1, 4), (2, 4), (3, 4), (4, 4)

Let A ={1,2,3,4}. Let f : A to A " and " g : A to A defined by f : ={(1,4),(2,1),(3,3),(4,2)} and g = {(1,3),(2,1),(3,2),(4,4)} Find (i) g o f (ii) f o g (iii) f o f .

Let A={1,2,3,4} be a given set and f : A rarr A, g : A rarr A be two given functions such that f={(1,4),(2,1),(3,3),(4,2)} g={(1,3),(2,1),(3,2),(4,4)} Find gof, fog, fof, gog .

If f(x)=|[3,2,1],[6x^(2),2x^(3),x^(4)],[1,a,a^(2)]| ,then f''(a)= is

Let the functions f and g be defined by, f={(1,2),(2,3),(3,4),(4,1)} and g={(2,-1),(4,2),(1,-2),(3,4)} Show that, (g o f) is defined but (f o g) is not defined . Also find ( g o f) as set of ordered pairs.

Let A={1,2,3,4}. Let f:A→A and g:A→A, defined by f={(1,4),(2,1),(3,3),(4,2)} and g={(1,3),(2,1),(3,2),(4,4)}. Find f o g.

Let A ={1,2,3,4} and the mapping f: A rarr A, g: A rarr A be defined by f(1)=3,f(2)=4,f(3)=2,f(4)=1 and g(1)=2, g(2)=4,g(3)=1,g(4)=3 Find (i) (g o f) (4), (ii) (f o g) (1), (iii) (g o f)(3), (iv) (f o g)(2)

If ((3(1)/(4) )^(4) -(4( 1)/(3))^(4))/( (3,(1)/(4) )^(2) -(4,(1)/(3))^(2) )= ((13a)/(12))^(2) , find a.