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mariahflamini
mariahflamini mariahflamini
  • 21-09-2016
  • Mathematics
Answered

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).

Verified Answer :

nobillionaireNobley
nobillionaireNobley nobillionaireNobley
  • 01-10-2016

[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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