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

Similar Questions

Explore conceptually related problems

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)=4x-x^2 for all x in R , then the value of f(a+1)-f(a-1) is:

If f(x)=cos(logx) , then prove that f((1)/(x)).f((1)/(y))-(1)/(2)[f((x)/(y))+f(xy)]=0

1.If f(x)=((x^(2)-4)/(x-2)) ,then f(2) is (a) 0 (b) 2 (c) 4

If f(x)= (x+1)/(x-1) then the value of f(f(x)) is equal to a)x b)0 c)-x d)1

If f(x)=cos(logx) , then show that f((1)/(x)).f((1)/(y))-(1)/(2)[f((x)/(y))+f(xy)]=0

If f (x)=4x -x ^(2), then f (a+1) -f (a-1) =

If f(x)=(1-sin2x+cos2x)/(2cos2x), then the value of f(16^(0))*f(29^(0)) is (1)/(2)(1)/(4)1(3)/(4)

If int f(x)cos xdx=(1)/(2)f^(2)(x)+C then the value of 4f(x) at x=0 is