Let `g(x)` be a function such that `g(a+b)=g(a)dotg(b)AAa , b in Rdot` If zero is not an element in the range of `g,` then find the value of `g(x)dotg(-x)dot`

Let g: RvecR be a differentiable function satisfying g(x)=g(y)g(x-y)AAx , y in R and g^(prime)(0)=aa n dg^(prime)(3)=bdot Then find the value of g^(prime)(-3)dot

Let g: RvecR be a differentiable function satisfying g(x)=g(y)g(x-y)AAx , y in R and g^(prime)(0)=aa n dg^(prime)(3)=bdot Then find the value of g^(prime)(-3)dot

Let g(x) be a function satisfying g(0) = 2, g(1) = 3, g(x+2) = 2g(x+1), then find g(5).

The function g is defined by g(x)=2x^2-dx-6 , where d is a constant. If one of the zeros of g is 6, what is the value of the other zero of g?

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

Let the functions g be defined as g(x)=-3x+6 . If g(6)=r , what is the value of g(r)?

If G denotes the centroid of Delta \ A B C ,\ then write the value of vec (G A) + vec (G B)+ vec (G C)dot

Let f: A to B; g: B to A be two functions such that fog = I_B . Then; f is a surjection and g is an injection.

Let a function f be even and integrable everywhere and periodic with period 2. Let g(x)=int_0^x f(t) dt and g(t)=k The value of g(x+2)-g(x) is equal to (A) g(1) (B) 0 (C) g(2) (D) g(3)