Question: x2 - 9 Let f(X) = if x * 3 X - 3 kx - 21 if x = 3 Determine the value of k

x2 - 9 Let f(X) = if x * 3 X

x2 - 9 Let f(X) = if x * 3 X - 3 kx - 21 if x = 3 Determine the value of k that will make f(x) continuous everywhere. k = X

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

Let f (x) = x sin - +3 if x#0 1 if x=0 Determine if this function is continuous at X = 0 Let f (x) = ex + 1 if x

Q:

8) Evaluate the following limits using algebraic methcnff DO NOT use graphs, tables or derivatives. (b) lim x mx 5 if x

Q:

Math 110 Course Resources - Limits & Continuity Course Packet on continuity Let f ( x ) = > + k ifx $ 5 kx + 65 if x > 5 Determine the value of k that will make f(x) continuous everywhere. K = Submit...

Q:

Limits in 3D Worksheet #1. Let f (x, y) = x2+y2 + 3 a) Discuss the continuity of f (x, y) by using the graph below to fill in the blanks (you should study this surface to see if you understand why it...

Q:

Midterm Exam 1.(10pts) Let P(1, 2, 3) and Q(4, -7, 9) be two points. Find the point R that is two-thirds of the way from P to Q on the segment PQ. Work: Answer: 2.(10pts) The angle between two...

Q:

Let f x 9 X 3 X 3 lim x x 3 X a Calculate f x for each value of x in the following table 2 999 2 9999 5 99 5 999 5 9999 3 01 3 001 3 0001 f x 6 01 6 001 6 0001 x 3 Type integers or decimals rounded...

Q:

Let f (x) = 3x2 - 2x - 3 and8(x) = f-1(x). What is the slope of the curve g (x ) =f-(x) at the point (5, 2)? 0 8'(5) = 10 0 g' (5) = 2 0 8' (5) = 5 o g'(5) = 1Letf(x) = (I?) and g(x) =f'l (x). What...

Q:

1. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}. Let p(x) = [(x is prime) ( (x2 + 1 is even)]. Find the truth value of (a) x p(x) (b) (x p(x) 2. Let U = {0, 1, 2, 3, 4}. Let p(x) = [x2 > 9]. Find the truth...

Q:

6 At time t 2 0, the position of a body moving along the horizontal s-axis is s = 2 - 2 sint m. The total distance travelled by the body from t = 0 to t = 2n is A Om B 2m C 8m D 4m E NOTA 7 Ify =...

Q:

DETAILS 1. [-/1 Points] Math 110 Course Resources - Derivatives Course Packet on average rate of change - Video Tutorial Compute the average rate of change f(x) = - on the interval [4,11]. Average...

Q:

The table below shows the account balances of Novations, Inc., at the beginning and end of the company's accounting period. The following additional information is available: (a) All purchases and...

Q:

Consider the information brought to the SEC by Harry Markopolos. Please explain the primary reasons why Mr. Markopolos believed that Madoffs fund was nothing more than a Ponzi scheme.

Q:

2. The trial balance of Brock Company as of February 28, 20X1, appears below. INSTRUCTIONS 1. Record the trial balance in the Trial Balance section of the worksheet. 2. Complete the worksheet by...

Q:

In todays business world, email plays a significant role as a major method of communication. Explain inappropriate use of email at work. Provide examples. Describe what types of trouble inappropriate...

Q:

How can you create a supportive context for your personal growth?

Q:

The fi lm Nell dramatizes the impact of communication with others on self-concept. View the fi lm, and notice how Nells world changes as she begins to communicate with others.

Q:

How do romantic relationships typically escalate and deteriorate?