Consider `f : {1, 2, 3}->{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`.

If f(y) = 2y^(2) + by + c and f(0) = 3 and f(2) = 1, then the value of f(1) is

Let f : R rarr given by f(x) = 3x^(2) + 5x + 1 . Find f(0), f(1), f(2).

Consider as f(1)=a,f(2)=b,f(3)=c , g:[a,b,c]rarr {apple, ball, cat} Defined as f(1)=a,f(2)=b,f(3)=c, g(a) = apple, g(b) = ball, g(c ) = cat Show that f, g and gof are invertible. Find f^(-1),g^(-1) and (gof)^(-1) and show that : (gof)^(-1)=f^(-1)og^(-1) .

Let f" ":" "{1," "2," "3}->{a ," "b ," "c} be one-one and onto function given by f" "(1)" "=" "a , f" "(2)" "=" "b and f" "(3)" "=" "c . Show that there exists a function g" ":" "{a ," "b ," "c}->{1," "2," "3} such that gof=I_x and fog=

If f: C->C is defined by f(x)=(x-2)^3 , write f^(-1)(-1) .

If f(x) = ax^2 + bx + c and f(0) = 5 , f(1) = 7 , and f(-1) = 3 then find the value of 3a+5b-c .

If the function f: C->C be defined by f(x)=x^2-1 , find f^(-1)(-5) and f^(-1)(8) .

Given the function f(x) = x^(3) - 1 . Find f(1), f(a), f(a+1).

A function f(x) is defined as f(x)=x^2+3 . Find f(0), F(1), f(x^2), f(x+1) and f(f(1)) .

If f(1)=3,f'(1)=2,f''(1)=4, then (f^(-))''(3)= (where f^(-1)= inverse of y=f(x))