Let `g(x)= x^6 + ax^5 + bx^4 + cx^3+dx^2 + ex + f` be a polynomial such that `g(1) = 1, g(2) = 2, g(3) = 3,g(4) = 4,g(5) = 5 and g(6) = 6`. And if `g(7) = n` then find `n`

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

If f(x)=x^4+3 and g(x)=x+6 , then find (f+g)(2)

If f is periodic,g is polynomial function and f(g(x)) is periodic and g(2)=3,g(4)=7 then g(6) is

If g(x) is a polynomial satisfying g(x)g(y)=g(x)+g(y)+g(xy)-2 and g(2)=5 then value of g(3) is

If f is periodic, g is polynomial function and f(g(x)) is periodic and g(2)=3 , g(4)=7 then g(6) is

Consider f g and h are real-valued functions defined on R. Let f(x)-f(-x)=0 for all x in R, g(x) + g(-x)=0 for all x in R and h (x) + h(-x)=0 for all x in R. Also, f(1) = 0,f(4) = 2, f(3) = 6, g(1)=1, g(2)=4, g(3)=5, and h(1)=2, h(3)=5, h(6) = 3 The value of f(g(h(1)))+g(h(f(-3)))+h(f(g(-1))) is equal to

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)

If f (x) = (3x + 4)/( 5x -7), g (x) = (7x +4)/(5x -3) then f [g(x)]=

If g(x) is a polynomial satisfying g(x)g(y)=g(x)+g(y)+g(xy)-2 for all real x and y and g(2)=5 then lim_(x rarr3)g(x) is