Discrete Maths - Sets

136. If function f: R → R is given by f (x) =  x 2 + 2x - 3 and  function g : R → R is given by g(x) = 3x - 4, then (gof) (x) is given by

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137. If I A I = m and I B I = n, then number of possible relations R : A → B is

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138. Which of the following relations are functions?

I. N = {(x, y)/y = x², x ∈ {-1, 0, 1, 2, 3}}

II. P = {(x, y)/y² = x, x ∈ {4, 9, 16})

III. Q = {(x, y)/y = 4x² -14, x ∈ {-1, 1, 2, 3}}

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139. If R be a relation from A= {1, 2, 3, 4} to B = {1, 3, 5}. i.e.  (a, b) ∈ R if a < b, then RoR-1 is

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140. If sets A and B have 3 and 6 elements each, then minimum number of elements in A ∪ B is

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