Let , and , show that ,…

MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials

Problem

Let

f(x) = x^2 - 2x

x \in \mathbb{R}

and

g(x) = f(f(x) - 1) + f(5 - f(x))

, show that

g(x) \ge 0

\forall x \in \mathbb{R}