`f: RrarrR ,f(x^2+x+3)+2f(x^2-3x+5)=6x^2-10 x+17AAx in R ,` then find the function `f(x)dot`

If f: RvecR is a function satisfying the property f(2x+3)+f(2x+7)=2AAx in R , then find the fundamental period of f(x)dot

If f: R->R is a function satisfying the property f(2x+3)+f(2x+7)=2AAx in R , then find the fundamental period of f(x) .

Let a function f(x) satisfies f(x)+f(2x)+f(2-x)+f(1+x)=x ,AAx in Rdot Then find the value of f(0)dot

Represent the following function: f: f(x^2+x+3)+2f(x^2−3x+5)=6x^2 −10x+17 in the form of ax + b.

Let a function f(x)s a t i sfi e sf(x)+f(2x)+f(2-x)+f(1+x)=AAx in Rdot Then find the value of f(0)dot

If f(x)=(a x^2+b)^3, then find the function g such that f(g(x))=g(f(x))dot

If f(3x+2)+f(3x+29)=0 AAx in R , then the period of f(x) is

A continuous function f(x)onR->R satisfies the relation f(x)+f(2x+y)+5x y=f(3x-y)+2x^2+1forAAx ,y in R Then find f(x)dot

If f(x0a n dg(x)=f(x)sqrt(1-2(f(x))^2) are strictly increasing AAx in R , then find the values of f(x)dot

If f : RrarrR, f(x)=x^(3) and g : RrarrR , g (x) = 2x^(2)+1 , and R is the set of real number, then find fog (x) and gof (x).