If S is the set of all real `x` such that `(2x-1)/(2x^3+3x^2+x)` is positive

Let f(x)=x/(1+x) and let g(x)=(rx)/(1-x) , Let S be the set off all real numbers r such that f(g(x))=g(f(x)) for infinitely many real number x. The number of elements in set S is

Find the set of all x foir which (2x)/((2x^2+5x+2))>1/((x+1))dot

Find real x such that (3+2i sin x)/(1-2i sin x) is purely real.

Find all real solutions to 2^x+x^2=2-(1)/(2^x) .

The set of all real x satisfying the inequality (3-|x|)/(4-|x|) ge 0 is

The set of all real numbers x for which x^2-|x+2| +x gt 0 is

Find the complete set of values of a such that (x^2-x)//(1-a x) attains all real values.

Write the in roster form. the set of all positive roots of the equation (x-1) (x+1) ( x^(2)-1) =0.

If A = sin^2x + cos^4 x , then for all real x :