If f(x)=ax+b and the equation `f(x)=f^(-1)(x)` be satisfied by every real value of x, then

If f(x)=sin theta.x+a and the equation f(x)=f^(-1)(x) is satisfied by every real value of x, then

If f(x) = sin theta. x + a and the equatio f(x) = f^(-1)(x) is satisfied by every real value of x, then

If f: R rarr R such that f(x)=ax+b, a != 0 and the equation f(x)=f^(-1)(x) is satisfied by

If f(x) = f(1 - x) and f(x) is differentiable are every real value of x then the value of f' ((1)/(2)) + f' ((1)/(4)) + f' ((3)/(4)) is _____

If f(x) = f(1 - x) and f(x) is differentiable are every real value of x then the value of f' ((1)/(2)) + f' ((1)/(4)) + f' ((3)/(4)) is _____

The function f(x) satisfies the equation f(x+1)+f(x-1)=sqrt(3)f(x) .then the period of f(x) is

A function f, defined for all positive real numbers, satisfies the equation f(x^(2))=x^(3)=x^(3) for every gt0. Then the value of f'(4) is

The function f(x) satisfies the equation f(x + 1) + f(x-1) = sqrt3 f(x) . then the period of f(x) is

If a real valued function f(x) satisfies the equation f(x +y)=f(x)+f (y) for all x,y in R then f(x) is