If `(1) =((1)/(2))^(x)`. Find the value of x

If x-(1)/(x)=1 find the value of x+1/x

A ball drops from a celling of a room and after rebounding twice from the floor reaches a height equal to half that of the ceiling. If th coefficient of restitution is (1/2)^(1//x) . Find the value of x.

If x^(2)+(1)/(x^(2))=18, find the values of x+(1)/(x) and -(1)/(x)

2.If (x+3)(x+1)=(x-2)(x+1) then find the value of x.

If x=(1)/(2-sqrt(3)) then find the value of x+(1)/(x)

If cos (2 sin^(-1) x) = (1)/(9) , then find the value of x

If x +(1)/(x) =2 , find the value of (x^2 +(1)/(x^2))(x^3 +(1)/(x^3))

" (1) If "f(x+(1)/(x))=x^(2)+(1)/(x^(2))(x!=0);" then find the value of "f(x)