Suppose `f(x)=a x+ba n dg(x)=b x+a ,w h e r eaa n db` are positive integers. If `f(g(50))-g(f(50))=28 ,` then the product (ab) can have the value equal to

Suppose f(x)=a x+ba n dg(x)=b x+a ,w h e r eaa n db are positive integers. If f(g(20))-g(f(20))=28 , then which of the following is not true? a=15 b. a=6 c. b=14 d. b=3

If f(x) =(p-x^n)^(1/n) , p >0 and n is a positive integer then f[f(x)] is equal to

If f(x)=x/(sinx) \ a n d \ g(x)=x/(tanx),w h e r e \ 0ltxlt=1, then in this interval

If f(x)=(x+1)/(x-1)a n dg(x)=1/(x-2),t h e n discuss the continuity of f(x),g(x),a n dfog(x)dot

If f(x)=e^(x) and g(x)=f(x)+f^(-1) , what does g(2) equal?

If f(x)=log_(10)x and g(x)=e^(ln x) and h(x)=f [g(x)] , then find the value of h(10).

If f(x)=|x-2| a n d g(x)=f[f(x)],t h e n g^(prime)(x)= ______ for x>20

If f(x)=log_(e)x and g(x)=e^(x) , then prove that : f(g(x)}=g{f(x)}

Let f(a)=g(a)=k and their nth derivatives exist and be not equal for some n. If lim_(xtoa) (f(a)g(x)-f(a)-g(a)f(x)+g(a))/(g(x)-f(x))=4 then find the value of k.

Let f(x)=tanxa n dg(f(x))=f(x-pi/4), where f(x)a n dg(x) are real valued functions. Prove that f(g(x))="tan ((x-1)/(x+1))dot