Q. 47

Let f :R →< A. π/4

B.

C. does not exist

D. none of these

Answer :

Given that, f (x) = tan x

Let f(x) = y

⇒ y = tanx

⇒ x = tan^-1y

⇒ f^-1(y) = tan^-1y [∵ f(x) = y ⇒ x = f^-1(y) ]

⇒ f^-1(x) = tan^-1x

⇒ f^-1(1) = tan^-11

⇒

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Let f :R →< A. π/4B. C. does not existD. none of these