Q47 of 70 Page 11

Let f :R → R be given by f (x) = tan x. Then f^–1 (1) is

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

⇒

Let f : N → R be the function defined byand g : Q → R be another function defined by g (x) = x + 2. Then (g o f)3/2 is

Let f :R → R be defined by

Then f (– 1) + f (2) + f (4) is

Fill in the blanks in each of the

Let the relation R be defined in N by aRb if 2a + 3b = 30. Then R = ______.

Fill in the blanks in each of the

Let the relation R be defined on the set

A = {1, 2, 3, 4, 5} by R = {(a, b) : |a² – b²| < 8}. Then R is given by _______.

Let f :R → R be given by f (x) = tan x. Then f–1 (1) is