" 便,俄 "f(x)=(x-1)/(x+1)" हो तो सिद्ध करो कि "(f(a)-f(b))/(1-f(a)f(b))=(a-b)/(a+b)

If f(x)=(x-1)/(x+1), show that (f(a)-f(b))/(1+f(a)f(b))=(a-b)/(1+ab)

If f(x)=(x-1)/(x+1) , then prove that: (f(b)-f(a))/(1+f(b)*f(a))=(b-a)/(1+ab)

If f(x)=(x-1)/(x+1) , then prove that: (f(b)-f(a))/(1+f(b)*f(a))=(b-a)/(1+ab)

If f(x)=(x)/(x-1) , then evaluate : (f(a//b))/(f(b//a))

If f(x)=(x)/(x-1) , then evaluate : (f(a//b))/(f(b//a))

If f(x)=log((1-x)/(1+x)) , show that f(a)+f(b)=f((a+b)/(1+ab))

If f(x) is a polynomial of degree at least two with integral co-efficients then the remainder when it is divided by(x-a) (x-b) is , where a ne b (1) x[(f(a)-f(b))/(b-a)] + (af(b) -bf(a))/(a-b) (2) x[(f(a) -f(b))/(a-b)] + (af(b) -bf(a))/(a-b) (3) x[(f(b) -f(a))/(a-b)] + (af(b) -bf(a))/(a-b) (4) x [ (f(b) -f(a))/(a-b)] + (bf(a) -af(a))/(a-b)

If f(x) is a polynomial of degree at least two with integral co-efficients then the remainder when it is divided by(x-a) (x-b) is , where a ne b (1) x[(f(a)-f(b))/(b-a)] + (af(b) -bf(a))/(a-b) (2) x[(f(a) -f(b))/(a-b)] + (af(b) -bf(a))/(a-b) (3) x[(f(b) -f(a))/(a-b)] + (af(b) -bf(a))/(a-b) (4) x [ (f(b) -f(a))/(a-b)] + (bf(a) -af(a))/(a-b)

int_(a)^(b)(f(x)dx)/(f(x)+f(a+b-x))=(1)/(2)(b-a)

If f(x)=log_e((1-x)/(1+x)); prove that f(a)+f(b)=f((a+b)/(1+a b))