03-02-2017
Mathematics

contestada

Suppose f and g are continuous functions such that
g(9) = 2
and
lim
x → 9
[3f(x) + f(x)g(x)] = 10.
Find
f(9)

Respuesta :

jdoe0001 jdoe0001

03-02-2017

[tex]\bf \lim\limits_{x\to 9}\ 3f(x)+f(x)g(x)\quad =\quad 10 \\ \quad \\\\ \lim\limits_{x\to 9}\ 3f(9)+f(9)\underline{g(9)}=10\qquad \qquad \underline{g(9)}=2\qquad thus \\ \quad \\\\ 3f(9)+f(9)+f(9)2=10\implies 3f(9)+2f(9)=10[/tex]

solve for f(9)

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