Find `f(x)` if `f(x)=(1)/(root3(x^(2)+x+1))`

Find f' (x) if f(x) = (1)/(root(3) (x^3 + x^2 + 1) ) .

Find the domain of the following functions (a) f(x)=(1)/(sqrt(x-2)) " (b) " f(x)=(1)/(x^(3)-x) (c ) f(x)= root(3)(x^(2)-2)

Find the domain of the following functions (a) f(x)=(1)/(sqrt(x-2)) " (b) " f(x)=(1)/(x^(3)-x) (c ) f(x)= root(3)(x^(2)-2)

Find the domain of the following functions (a) f(x)=(1)/(sqrt(x-2)) " (b) " f(x)=(1)/(x^(3)-x) (c ) f(x)= root(3)(x^(2)-2)

Find the domain of the following functions (a) f(x)=(1)/(sqrt(x-2)) " (b) " f(x)=(1)/(x^(3)-x) (c ) f(x)= root(3)(x^(2)-2)

Find f(f(f(f(f(2)))))) if f(x)=(x+1)/(x-1),x ne 1

Find number of roots of f(x) where f(x)=(1)/((x+1)^(3))-3x+sin x

Find the value of f(1) so that the function f(x)=((root(3)x^2-(2x^(1//3)-1)))/(4(x-1)^2), x ne 1 is continuous at x=1.

Which of the following functions are even, and which are odd : (a) f(x)=root3((1-x)^(2))+root3((1+x)^(2)) , (b) f(x)=x^(2)-|x|, (c) f(x)=x sin^(2) x-x^(3), (d) f(x)=(1+2^(x))^(2)//2^(x)?

Find domain(i) f(x) = (1)/(x - 5) (ii) f(x) = (3 - x)/(x - 3) (iii) f(x) = (x^(2) - 1)/(x - 1) (iv) f(x) = (| x - 3 |)/(x - 3) (v) f(x) = (1)/(2 - sin 3x)