Q46 of 70 Page 11

Let f :R → R be defined by

Then f (– 1) + f (2) + f (4) is

Given that,

Now,

f(-1) = 3(-1) = -3 [since -1<1 and f(x) = 3x for x≤ 1]

f(2) = 2² = 4 [since 2<3 and f(x) = x² for 1<x≤ 3]

f(4) = 2(4) = 8 [since 4>3 and f(x) = 2x for x>3]

∴ f (– 1) + f (2) + f (4) = -3+4+8 = 9

Let f : [2, ∞) → R be the function defined by f (x) = x²–4x+5, then the range of f is

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

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Fill in the blanks in each of the

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

Let f :R → R be defined byThen f (– 1) + f (2) + f (4) is