Let f be an injective map. with domain {x, y, z} and range {1, 2, 3}, such that exactly one following statements is correct and the remaining are false : `f(x)=1 , f(y) != 1, f(z) !=2` The value of `f^-1(1)` is

If 2f(x).+ 3f(-x) = x^2-x+1, find the value of f(1).

if 2f(x)+3f(-x)=x^2+x+1 find the value of f'(1)

If f(x) = ax^(2) + bx + x and f(2) = 1, f(3) = 6, f(-1) = 10, then find the value of f'(1).

If 2f(x) +3f(-x)=x^(2)-x+1 then determine the value of f'(1).

Let f(x+y)=f(x)f(y)AA x, in IR, f(6)=5 and f'(0)=1 . Then the value of f' (6) is

If f (x/y)= f(x)/f(y) , AA y, f (y)!=0 and f' (1) = 2 , find f(x) .

Let A={-1, 0, 1} and B = {1, 2, 3, 4}. If f is the rule associating elements of A to elements of B, such that f(-1) = 2, f(0) = 1 and f(1) = 4. Does f define a mapping?

Let f(x)=(x)/(1+|x|) Range of f(x) is -

The graph of a function fx) which is defined in [-1, 4] is shown in the adjacent figure. Identify the correct statement(s). (1) domain of f(|x|)-1) is [-5,5] (2) range of f(|x|+1) is [0,2] (3) range of f(-|x|) is [-1,0] (4) domain of f(|x|) is [-3,3]

Let Z be the set of integers and the mapping f:Z rarr Z be defined by, f(x):x^2 . State which of the following is equal to f^(-1)(-4) ?