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Q50 of 215 Page 3

Mark the correct alternative in each of the following:

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


Given that f: R → R be given by f(x) = tan x


For f–1:


y = f(x)


⇒ y = tan x


⇒ x = tan-1 y


f–1 = tan-1 x


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48

Mark the correct alternative in each of the following:

Let f(x) = x3 be a function with domain {0, 1, 2, 3}. Then domain of f–1 is


49

Mark the correct alternative in each of the following:

Let f : R → R be given by f(x) = x2 – 3. Then, f–1 is given by


51

Mark the correct alternative in each of the following:

Let f: R → R be defined as


Then, find f(–1) + f(2) + f(4)


52

Mark the correct alternative in each of the following:

Let A = {1, 2, …, n} and B = {a, b}. Then the number of subjections from A into B is


Questions · 215
2. Functions
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