Let `f(x)=2cos^2x+sqrt(3)*sin2x+1.` Then, its domain and range, so that `f` is an invertible function

If f(x)=(x^(2)-x)/(x^(2)+2x) , then find the domain and range of f. Show that f is one-one. Also, find the function (d(f^(-1)(x)))/(dx) and its domain.

Find the domain and range of the function f(x)=1/(2-sin3x) .

Find the domain and range of the function f(x)=(1)/sqrt(x-5)

Write the domain and range of the function f(x)=(x-2)/(2-x) .

Find the domain and range of f(x)=(1)/(2-sin3x).

Find the domain and range of the function, f(x)= (1)/(3-sin 2x) .

The domain and range of the function f given by f(x) =2 - |x-5| is

Draw the graph of y=(sin2x)sqrt(1+tan^2x) , find its domain and range.

Draw the graph of y=(sin2x)sqrt(1+tan^2x) , find its domain and range.

Draw the graph of y=(sin2x)sqrt(1+tan^2x) , find its domain and range.