Register
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).
102k views
2 votes
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).

User Aghaux
by
7.4k points

1 Answer

4 votes
[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
User Mithra Singam
by
8.4k points
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.0m questions

11.6m answers

Other Questions

How do you estimate of 4 5/8 X 1/3
i have a field 60m long and 110 wide going to be paved i ordered 660000000cm cubed of cement  how thick must the cement be to cover field
A dealer sells a certain type of chair and a table for $40. He also sells the same sort of table and a desk for $83 or a chair and a desk for $77. Find the price of a chair, table, and of a desk.
The cost of 5 similar digital cameras and 3 similar video cameras is 3213. Each video camera costs 4 times as much as each digital camera. John buys a digital camera and a video camera. How much does he
Mr. Jacob is 55 years old and tony is 7 years old. in how many years will mr. Jacobs be 4 times as old as Tony
Link Copied!