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  4. Let f: ℝ → ℝ be defined by f(x) = x2- (x2/1+x2) for all x ∈ ℝ. Then

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Q. Let f : ℝ $\to$ ℝ be defined by f(x) $= x^{2-} \frac{x^{2}}{1+x^{2}}$ for all x $\in$ ℝ. Then

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Solution:

f(-x) = f(x), so many-one and into as Codomain is R