Let `A={x,y,z}=B={u,v,w) and f:A to B` be defined by f `(x)=u, f(y)=v, f(z)=w`. Then, f is

Let A = {x, y, z), B = {u, v, w} and f : A rarr B be defined by f(x) = u, f(y) = v, f(z) = w. Then, f is

Let A={x:(-2)/(5)<=x<=(pi-2)/(5)} and B={y:-1<=y<=1} and f:A rarr B is defined by f(x)=cos(5x+2) . Then f^(-1)(x) is

If f: Z to Z be given by f(x)=x^(2)+ax+b , Then,

Let f be a function defined by f(xy)=(f(x))/(y), AA x, y in R^(+) .If f(30)=20 .Then f(40)=

Let A={a ,\ b ,\ c} , B={u\ v ,\ w} and let f and g be two functions from A to B and from B to A respectively defined as: f={(a ,\ v), (b ,\ u),\ (c ,\ w)} , g={(u ,\ b),\ (v ,\ a),\ (w ,\ c)}dot Show that f and g both are bijections and find fog and gofdot

Let f: Z->Z be defined by f(x)=x+2. Find g: Z->Z such that gof=I_Z .

Let f: A rarr B be a function defined by f(x)=sqrt(x) then which of the following is/are true? (where N,W,R are set of natural, whole, real numbers respectively) a) A=W, B=R b) A=W, B=W c) A=N, B=R d) A=R, B=R

Let f : R rarr R be such that f is injective and f(x) f(y ) = f(x+ y)forall x,y in R. If f(x),f(y),f(z)are in G .P.,then x, y, z are in