Let f={(1,1),(2,3),(0,-1),(,-1,-3)} be a linear function from Z into Z. Find f(x).

Let f={(1,1),(2,3),(0,-1),(-1,-3)} be a function from Z to Z defined by f(x)= ax + b, for some integers a, b. Determine a, b,

Let f={(1,1),(2,3),(0,−1),(−1,−3)} be a function from Z to Z defined by f(x)=ax+b for some integers a,b. Determine a,b.

Let E={1,2,3,4},F={1,2} then the number of onto functions from E to F is

If f is a linear function and f(2)=4,f(-1)=3 then find f(x)

Let E={1,2,3,4,} and F={1,2}. Then the number of onto functions from E to F, is ______.

Let the set S={f_(1),f_(2),f_(3),f_(4)} of four functions from CC (the set of all complex numbers) to itself, defined by f_(1)(z)=z,f_(2)(z)=-z,f_(3)(z)=(1)/(z)andf_(4)(z)=-(1)/(z) for all zinCC Construct the composition table for the composition of functions (@) defined on the set S. value of f_(2)@f_(1)(z) is--

Let the set S={f_(1),f_(2),f_(3),f_(4)} of four functions from CC (the set of all complex numbers) to itself, defined by f_(1)(z)=z,f_(2)(z)=-z,f_(3)(z)=(1)/(z)andf_(4)(z)=-(1)/(z) for all zinCC Construct the composition table for the composition of functions (@) defined on the set S. Value of f_(4)@f_(1)(z) is ---

Let the set S={f_(1),f_(2),f_(3),f_(4)} of four functions from CC (the set of all complex numbers) to itself, defined by f_(1)(z)=z,f_(2)(z)=-z,f_(3)(z)=(1)/(z)andf_(4)(z)=-(1)/(z) for all zinCC Construct the composition table for the composition of functions (@) defined on the set S. Value of f_(2)@f_(4)(z) is---

Let the functions f and g be defined by, f={(1,2),(3,-2),(-1,1)} and g={(2,3),(-2,1),(1,3)} Prove that , (g o f) and ( f o g) are both defined . Also find (g o f) and (f o g) as sets of ordered pairs.

Let A ={:[(2,0,1),(2,1,3),(1,-1,0)] and f(x) = x^(2) -5x + 6 , find f(A).