Let the function `f ; R-{-b}->R-{1}` be defined by `f(x) =(x+a)/(x+b),a!=b,` then

Let the function f:R -(-b) to r-(-1) is defined by (x+a)/(x+b)=(y+a)/(y+b) , then

Let the function f: R to R be defined by f(x) = 2x + sinx for x in R , then f is

Let A = R - (-5) and B = R . Let the function f: A to B be defined as f(x) = (5x + 4)/( x + 5) , x in A . Show that f is an injective function.

Let the function f: R to R be defined by f(x)=x^(3)-x^(2)+(x-1) sin x and "let" g: R to R be an arbitrary function Let f g: R to R be the function defined by (fg)(x)=f(x)g(x) . Then which of the folloiwng statements is/are TRUE ?

Let the function f:R to R be defined by f(x)=x+sinx for all x in R. Then f is -

If A=R-{b} and B=R-{1} and function f:AtoB is defined by f(x)=(x-a)/(x-b),aneb , then f^(-1)(x) is

If A=R-{b} and B=R-{1} and function f:AtoB is defined by f(x)=(x-a)/(x-b),aneb then f is

Let A= R-{3}" and "B= R-{1} . Consider the function f : A to B defined by f(x)= (x-2)/(x-3) . Then f is………..