If `y=f(x)=(3x+1)/(5x-3)`, prove that x=f(y).

If y= f(x) =(3x-1)/(5x-3) , prove that f(y) =x.

(i) If y = f(x) = (3x-1)/(5x-3) , prove that f(y) = x (ii) If y = f(x) = (ax -b)/(bx-a) , prove that f(y) = x

If y= f(x)=(2x+3)/(5x-2) , prove that f(y)=x.

If f(x) = (x-1)/(x+1) , then prove that (f(x)-f(y))/(1+f(x)f(y))=(x-y)/(1+xy) .

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

If f(x)=x+(1)/(x) , then prove that : {f(x)}^(3)=f(x^(3))+3*f((1)/(x))

If f(x)=x+(1)/(x) , then prove that : {f(x)}^(3)=f(x^(3))+3*f((1)/(x))

If f(x)=(2x+1)/(3x-2)=y ,show that x=f(y).

If f(x) =x+1/x , prove that : [f(x)]^3 = f(x^3)+3f (1/x) .

If y=f(x)=((x+3))/((x-1)),t h e n x=f(y) (b) f(1)=3 y increases with xforx<1 f is a rational function of x