If `f={(1,2),(2,-3),(3,-1)}` then find (i)2+f (ii) `f^(2)`

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 } " and let " f: A to A defined by f ={(1,2),(2,3) , (3,1)} Find f^(-1) if it exists .

If A=[{:(-1,2),(3,1):}] , find f(A), where f(x)=x^(2)-2x+3.

If f:RrarrR,g:RrarrR are defined by f(x)=3x-1 and g(x)=x^(2)+1 , then find (i) fof(x^(2)+1) (ii) fog(2) (iii) gof(2a-3)

If f(x) = {(3x+1,;0lt=xlt=2), (1+9x,;2ltxlt3),(30+2x,;xgt=3):} find (i) f(1) (ii) f(5/2) (iii) f(4)

f(x)+f(1-x)=2 then find f((1)/(2))=

(i) if A=[{:(1,-1),(2,3):}], then show that A^(2)-4A+5I=O. (ii) if f(x)=x^(2)+3x-5and A=[{:(2,-1),(4,3):}], then find f(A).

If 2f(x)-3f((1)/(x))=6x+(1)/(x) then find f(x) and f(2)

If f(x)=2x-5 , then evaluate the following: (i) f(0) (ii) f(7) (iii) f(-3)

If 2f(x)-3f((1)/(x))=x^(2),x!=0, then find f(2)