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

If f(x) = x^(2) and g(x) = Ixl then find the values of: (i) f+g, (ii) f-g, (iii) fg, (iv) 2f, (v) f^(2) , (vi) f+3

If f(x)= {(x^2,"when" ,xlt0),( x ," when", 0lexlt1),( 1/x ," when", x gt1):} F i n d : (i) . f(1//2) (ii) . f(-2) (iii) . f(1) (iv) . f(sqrt(3)) (v) . f(-sqrt(3))

If f and g are two real valued functions defined as f(x) =2x +1 and g (x) =x^(2) +1 then find (i) f+g (ii) f-g (iii) fg (iv) (f)/(g)

If f : R to R is defined as: f(x)={{:(2x+5","x gt 9),(x^(2)-1","-9 lt x lt 9),(x-4"," x lt -9):} then evaluate (i) f(2), (ii) f(10),(iii) f(-12) and (iv) f[f(3)] .

If f(x)=2x^(3)-13x^(2)+17x+12 Then find (i)" "f(2)(ii) " "f(-3)(iii)" "f(0)

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

If f:R to R is defined as: f(x)= {{:(2x+1, "if",x gt 2),(x^(2)-1,"if",-2 lt x lt 2),(2x,"if",x lt -2):} then evaluate the following: (i) f(1) (ii) f(5) (iii) f(-3)

(d)/(dx) (AC)= f(x) (MC-AC) , then f(x)= (i) (1)/(x) (ii) x (iii) x^(-2) (iv) -x^(-1)

Let S = {1, 2, 3} . Determine whether the functions f : S->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 =

If f(x)=x^(2) and g(x)=2x , then evaluate, (i) (f+g)(3)" "(ii) (f-g)(2) (iii) (f*g)(1)" "(iv) ((f)/(g))(5)