If `y=f(x)=(5x+3)/(4x-5)`, then show that f(y)=x.

If y=f(x)=(a x-b)/(b x-a) , show that x=f(y)dot

If y = f(x) = (x+2)/(x-1) , x ne1 , then show that x = f(y) .

If f(x) is a real valued and differentaible function on R and f(x+y)=(f(x)+f(y))/(1-f(x)f(y)) , then show that f'(x)=f'(0)[1+t^(2)(x)].

If f(x)=x^(3)-4x+8 , then f(5)=

If the function f : RrarrR be defined as f (x)= (3x+4)/(5x-7),(xne7/(5)) and g : RrarrR be defined as g (x) = (7x+4)/(5x-3),(xne3/(5)) show that (g o f) (x) = (f o g) (x).

If y=f(x)=3x^2+2x+4 , then value of y at x=f(2) will be

Let f: R-{3/5}->R be defined by f(x)=(3x+2)/(5x-3) . Then (a).f^-1(x)=f(x). (b).f-1(x)= -f(x). (c). (fof)=x (d). f-1(x)=(1/19)f(x)

If f(x)=x^(2) + 5x-3 , then evaluate f(4)

If f(x) = (x - 1)(x - 2)(x - 3)(x - 4)(x - 5) , then the value of f' (5) is equal to

If f is defined by f(x)=x^2-4x+7, show that f^(prime)(5)=2f^(prime)(7/2)