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in Relations and Functions by (28.9k points)
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a) When a relation R on a set A is said to be reflexive

b) Show that ƒ : [-1, 1] → R given by f(x)= \(\frac{x}{x+2}\) is one-one

1 Answer

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Best answer

a) (a,a) ∈ R,  ∀a ∈ A

b) f(x1) = f(x2) ⇒ \(\frac{x_1}{x_1 +2}\) = \(\frac{x_2}{x_2 + 1}\)

⇒ x1x2 + 2x1 = x1x2 + 2x2

⇒ x1 = x2 Hence one - one

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