Let `M={A=({:(a,b),(c,d):}):a,b,c,d in { +-3,+-2,+-1,0}`.
Define `f:MtoZ` , as f (A) =det (A).for all `A inM`, where Z is set of all integers .Then the number of `A in M` such that `f(X)=15` is equal to _____.

A=[(a,b),(c,d)] a,b,c,d in {-3,-2,-1,0,1,2,3} , f(A)=det(A) then find the probability that f(A)=15

Cosider f(x)=1-e^((1)/(x)-1) Q. If D is the set of all real x such that f(x)ge0 then D is equal to

Let f(x)=ax^(2)+bx+c, where a,b,c are rational,and f:z rarr z ,Where z is the set of integers.Then a+b is

Let N denote the set of all non-negative integers and Z denote the set of all integers. The function f:ZtoN given by f(x)=|x| is:

Let f: [0,3] rarr R be defined by f(x)= "min" {x-[x], 1+[x]-x} where [x] is the greatest integer less than or equal to x. Let P denote the set containing all x in [0,3] where f is discontinuous, and Q denote the set containing all x in (0,3) where f is not differentiable. Then the sum of number of elements in P and Q is equal to_____

Let A = { a, b,c } and B = {1, 2, 3, 4} . Then the number of elements in the set C = { f : A to B |2 in f(A) and f is not one-one } is

Let f be a function from C (set of all complex numbers) to itself given by f(x)=x^3 . Write f^(-1)(1) .

If f: C->C is defined by f(x)=x^2 , write f^(-1)(-4) . Here, C denotes the set of all complex numbers.