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1326

A function f : R  R where R is the set of real numbers is defined by f (x) = . Find the interval of values of α for which f is onto. Is the function one to one for α = 3? Justify your answer.

a) 2 ≤ α ≤ 14

b) α ≥ 2

c) α ≤ 14

d) none of the above

A function f : R  R where R is the set of real numbers is defined by f (x) = . Find the interval of values of α for which f is onto. Is the function one to one for α = 3? Justify your answer.

a) 2 ≤ α ≤ 14

b) α ≥ 2

c) α ≤ 14

d) none of the above

IIT 1996
1327

If f1 ( x ) and f2 ( x ) are defined by domains D1 and D2 respectively, then f1 ( x ) + f2 ( x ) is defined as on D1 D2.

a) True

b) False

If f1 ( x ) and f2 ( x ) are defined by domains D1 and D2 respectively, then f1 ( x ) + f2 ( x ) is defined as on D1 D2.

a) True

b) False

IIT 1988

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