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

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

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

Let g(x) be a polynomial function satisfying g(x).g(y) = g(x) + g(y) + g(xy) -2 for all x, y in R and g(1) != 1 . If g(3) = 10 then g(5) equals

Let g(x) be a polynomial function satisfying g(x).g(y) = g(x) + g(y) + g(xy) -2 for all x, y in R and g(1) != 1 . If g(3) = 10 then g(5) equals

Let g (x) be a differentiable function satisfying (d)/(dx){g(x)}=g(x) and g (0)=1 , then intg(x)((2-sin2x)/(1-cos2x))dx is equal to

Let f(x) be a function satisfying f'(x)=f(x) with f(0)=1 and g(x) be the function satisfying f(x)+g(x)=x^(2) .Prove that, int_(0)^(1)f(x)g(x)dx=(1)/(2)(2e-e^(2)-3)

If f(x), g(x) be twice differentiable functions on [0,2] satisfying f''(x) = g''(x) , f'(1) = 2g'(1) = 4 and f(2) = 3 g(2) = 9 , then f(x)-g(x) at x = 4 equals (A) 0 (B) 10 (C) 8 (D) 2