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If f (x) = sin x + cos x + 1 and g(x) = x2 + x, x ∈ R, then fog(x) at x = 0 is(a) 0 (b) 1 (c) 2 (d) 3 |
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Answer» Answer: (c) 2 fog (x) = f (g (x) = f (x2 + x) = sin (x2 + x) + cos (x2 + x) + 1 ∴ fog (0) = sin 0 + cos 0 + 1 = 0 + 1 + 1 = 2. |
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