Let f(x) = px + q and g(x) = mx + n. Then, f(g(x)) = g(f(x)) is equivalent to

Which one of the following functions is neither even nor odd?

Let $$f(a) = {{a - 1} \over {a + 1}}$$ consider the following :

1. $$f(2a) = f(a) + 1$$

2. $$f\left( {{1 \over a}} \right) = - f(a)$$

Which of the above is/are correct?

Let $$f(x):\left\{ {\matrix{ {x,} & {x\,is\,rational} \cr {0,} & {x\,is\,irrational} \cr } } \right.$$

and $$g(x):\left\{ {\matrix{ {x,} & {x\,is\,rational} \cr {0,} & {x\,is\,irrational} \cr } } \right.$$

if $$f:R \to R$$ and $$g:R \to R$$, then (f $$-$$ g) is