mariahflamini mariahflamini

22-09-2016
Mathematics

contestada

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).

Respuesta :

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

Answer Link

Otras preguntas

The magnitude of the resultant of two vectors of magnitude 3 units and 4 units is 5 units. What is the angle between two vectors?

why we must control number of breeding animals captivity excess

Point G and point H are the same distance form point F. Which coordinates could be the location of point H?

Find the smallest positive integer that satisfies both of the following equations: x≡3(mod4) and x≡5(mod6).

To go on a summer trip, Ravi borrows $800. He makes no payments until the end of 3 years, when he pays off the entire loan. The lender charges simple interest a

Bananas are curved because they grow towards the sun ☀️ true or false

You are deciding between two recurring projects. Project A requires $100,000 initial investment and runs for 5 years. Project B requires an initial investment o

Kingbird Industries had one patent recorded on its books as of January 1, 2020. This patent had a book value of $249,600 and a remaining useful life of 8 years.

How blood goes in and out of the heart

3. Heat transfers without medium due to the process of answer convection