Let f(x) = x - 6 and g(x) = x² - 2x + 3 where x is a positive integer. Find x at which g(f(x)) + f(g(x) is minimum?
Think of it like this: we verify 4 by full calculation: use standard identity, substitute, simplify step by step to reach 4.
Ref: NCERT Mathematics Class XI — Sets, Relations and Functions