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17 December, 02:29

Suppose f and g are continuous functions such that

g (9) = 3

and

lim

x → 9

[3f (x) + f (x) g (x) ] = 12.

Find

f (9).

+2
Answers (1)
  1. 17 December, 03:55
    0
    [3f (x) + f (x) g (x) ] = 12

    When x = 9,

    [3f (9) + f (9) g (9) ] = 12

    [3f (9) + 3f (9) ] = 12

    6f (9) = 12

    f (9) = 12/6 = 2

    f (9) = 2
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