If `f(x^2-6x+6)+f(x^2-4x+4)=2x AA in x in R` then `f(-3) + f(9) -5f(1)=` (A) 7 (B) 8 (C) 9 (D) 10

If f(x+1/2)+f(x-1/2)=f(x) for all x in R , then the period of f(x) is 1 (b) 2 (c) 3 (d) 4

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

If f(3x+2)+f(3x+29)=0x in R , then the period of f(x) is 7 (b) 8 (c) 10 (d) none of these

If f'(x) = 9 x^(2) - 6 x and f (0) = - 3 , find f(x)

If (f(x))^(2)xxf((1-x)/(1+x))=64x AAx in D_(f), then The value of f(9//7) is

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

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

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

A function f (-3 , 7) to R is defined as follows f (x) = {{:( 4 x^(2) + 1 , ,-3 le x lt 2) , (3x - 2 , ,2 le x le 4) , (2x + 3 , ,4 lt x lt 7):}} Find (i) 5 f(1) - 3 f(-2) (ii) 3f (-3) + 4 f (iii) (7 f (3) - f (-1))/(2 f (6) - f(1))