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

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

If f(x)=x^3-x^2+a x+b is divisible by x^2-x , then find the value of f(2)dot

If f'(x) = 3x^2 - 4x + 5 and f(1) = 3 then find f(x).

Suppose that g(x)=1+sqrt(x) and f(g(x))=3+2sqrt(x)+xdot Then find the function f(x)dot

If f(x) and g(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: RvecR is given by f(x)=(x^2-4)/(x^2+1) , identify the type of function.

If f'(x)=3x^2 -4x+5" and "f(1)=3 , then find f(x) .

If f is polynomial function satisfying 2+f(x)f(y)=f(x)+f(y)+f(x y)AAx , y in R and if f(2)=5, then find the value of f(f(2))dot

If f is polynomial function satisfying 2+f(x)f(y)=f(x)+f(y)+f(x y)AAx , y in R and if f(2)=5, then find the value of f(f(2))dot