If `f(x)=x^(3)-x^(2)+x+1` then value of `(f(1)+f(-1))/(2)` is
`(A) 5`
`(B) 2`
`(C) 0`
`(D) -2`

If f(x)=cos(log x), then value of f(x)f(4)-(1)/(2){f((x)/(4))+f(4x)} is (a) 1(b)-1(c)0(d)+-1

If f(x+1/x)=x^2+1/x^2+8 then f(3), f(5), f(-1)

If a, b (altb) be the points of discontinuity of function f(f(f(x))) , where f(x)=1/(1-x),x!=1 , then int_a^b f(x)/(f(x)+f(1-x))dx= (A) 0 (B) 1/2 (C) 1 (D) 2

If 5f(x)+4f((1)/(x))=x-1,x!=0 then write the value of 9f(2)

Let f(x)=x^3-3(a-2)x^2+3ax+7 and f(x) is increasing in (0,1] and decreasing is [1,5) , then roots of the equation (f(x)-14)/((x-1)^2)=0 is (A) 1 (B) 3 (C) 7 (D) -2

If f(1)=1 , f'(1)=2 , then find the value of lim_(x rarr1)(sqrt(f(x))-1)/(sqrt(x)-1) (A) 2 (B) 4 (C) 1 (D) (1)/(2)

If f (x )= (x-1) ^(4) (x-2) ^(3) (x-3) ^(2) then the value of f '(1) +f''(2) +f''(3) is:

If f'(x)=f(x)+int_(0)^(1)f(x)dx, given f(0)=1 then the value of f((log)_(2)2) is (a) (1)/(3+e)(b)(5-e)/(3-e)(c)(2+e)/(e-2) (d) none of these

If f(x)=int(3x^(2)+1)/((x^(2)-1)^(3))dx and f(0)=0, then the value of (2)/(f(2))| is