If   $$\int {{{x + 1} \over {\sqrt {2x - 1} }}} \,dx$$ = f(x) $$\sqrt {2x - 1} $$ + C, where C is a constant of integration, then f(x) is equal to :

Let A and B be two invertible matrices of order 3 $$ \times $$ 3. If det(ABA^T) = 8 and det(AB^–1) = 8,
then det (BA^–1 B^T) is equal to :

Let a function f : (0, $$\infty $$) $$ \to $$ (0, $$\infty $$) be defined by f(x) = $$\left| {1 - {1 \over x}} \right|$$. Then f is :

Contrapositive of the statement " If two numbers are not equal, then their squares are not equal." is :