29.9k views
0 votes
If f (x + 3) = x² + ke-21, what is the value of k?

User Walidix
by
8.0k points

1 Answer

4 votes

Answer:

6.174 x 10^11

Explanation:

We can find the value of k by substituting a known value of x and solving for k.

Let's choose x = 0, then:

f(0 + 3) = (0)² + ke-21

f(3) = ke-21

Since we don't know the value of f(3), we cannot solve directly for k. However, we can use another piece of information: the function f(x) is defined as f(x) = x³ - 1.

Let's substitute x = 0 into the definition of f(x):

f(0) = 0³ - 1

f(0) = -1

Now, we can use this information to find f(3):

f(3) = (3)³ - 1

f(3) = 27 - 1

f(3) = 26

Substituting this back into the original equation:

f(3) = ke-21

26 = ke-21

Solving for k:

k = 26e^21

Therefore, the value of k is approximately 6.174 x 10^11.

User Michelletbs
by
7.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.