Q42 of 70 Page 11

Let be defined by. Then

Given that,


Let f(x) = y


⇒


⇒ (5x-3)y = 3x+2


⇒ 5xy-3y = 3x+2


⇒ 5xy–3x = 2+3y


⇒ (5y-3)x = 2+3y


⇒


⇒ [∵ f(x) = y, ⇒ x = f-1(y)]


⇒


⇒ f-1(x) = f(x)

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