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`

Suppose f(x)-ax+b and g(x)=bx+a where a and b are positive integets If f(g(50))-g(f(50))=28 then the product (ab) can have the value equal to

Suppose, f,g: R to R be defined by f(x) = ax + b, g(x) =cx + d , where a,b,c,d in R and ac ne 0 , if f(g(x)) = g(f(x)) AA x in R , then

If f(x)=ax+b and g(x)=cx+d, then f(g(x))=g(f(x)) is equivalent to

If B is the set of even positive integers then F:N rarr B defined by f(x)=2x is

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

If f(x)=(ax^(2)+b)^(3) , then the function g satisfying f(g(x))=g(f(x)) is given by

Let g(a,b)=log_(a)b. If f(x)=g(x^(2),ln x) then f'(x) at x=e is

Consider f(x)=|1-x| 1 lt=xlt=2 a n d g(x)=f(x)+bsinpi/2 x , 1 lt=xlt=2 Then which of the following is correct? Rolles theorem is applicable to both f, g a n d b = 3//2 LMVT is not applicable of f and Rolles theorem if applicable to g with b=1/2 LMVT is applicable to f and Rolles theorem is applicable to g with b = 1 Rolles theorem is not applicable to both f,g for any real b .

If f(x)=ln(sin x) and g(x)=sin^(-1)(e^(-x)) for all x in(0,pi) and f(g(alpha))=b and (f(g(x))' at x=alpha is a then which is true.