Question: Let f(x) = mx + b. Find a formula for f(x) given each of the following. (a) f(x + 2) = f(x) + 2 (b)

Let f(x) = mx + b. Find a formula for f(x) given each of the following.
(a) f(x + 2) = f(x) + 2
(b) f(3x) = 3f(x)

Step by Step Solution

★★★★★

3.34 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a fx mx b fx 2 fx 2 mx 2 b mx b 2 mx ... View full answer

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

Document Format (1 attachment)

Word file Icon

864-L-A-L-S (88).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!

Q:

Let E = {(x, y): 0 2t, t > 0} and find a formula for f-1[ (s, t). b) Use the Inverse Function...

Q:

Let be in block form, where B is an n x n matrix, c Rn, while 0 denotes the zero row vector with n entries. Show that its matrix exponential is also in block form Can you find a formula for f(t)? B A...

Q:

Let A(x) be the area of the region bounded by the t-axis and the graph of y = f(t) from t = 0 to t = x. Consider the following functions and graphs. a. Find A(2). b. Find A(6). c. Find a formula for...

Q:

1. Let f (x) = *- 5 x2+4 , find the following: A. f (2) B. f (3.5) C. f(a + 1) D. f ( Va) E. f (a2) F. f(a) + f(1) 2. Let f (x) = - x+1 and g (x) = Vx - 1. Find the following: A. A1) + g(1) B. f...

Q:

Directions: To receive afull credit Show all steps, label and simplify each answer. You may use a sciemic calculator. You may no! use human help or any solver programs. 1. Given [(1) = L (10:) = 6x...

Q:

Directions: To receive afull credit Show all steps, label and simplify each answer. You may use a sciemic calculator. You may no! use human help or any solver programs. 1. Given [(1) = L (10:) = 6x...

Q:

Please solve these 2 question in details and fully explaination. 1. For the function f( x ) given below , find the desiative ( f " ) ( c ) at the given pointc, by first finding a= f"(c) If fla ) = 3x...

Q:

1. Sketch the region enclosed by the given curves and find its area. a) y = sin x; y = ex; x=0; X = b) y = Ixl; y = x - 2 c) x = 2y2; x = 4+y2d) 4x+ yz = 12; x =y 2 a) Show that F(x) = (x - 1)ex is...

Q:

1. Let f (x) = 4x2 -2 Find the exact area under the curve on the interval [0,4] using the limit of a Riemann sum. The steps below are given. DIA (1) Ax = (2) X. = ( 3 ) Find the simplified formula...

Q:

1. Let f (x) = 4x2 -2 Find the exact area under the curve on the interval [0,4] using the limit of a Riemann sum. The steps below are given. DIA (1) Ax = (2) X. = ( 3 ) Find the simplified formula...

Q:

Royalty Hammer Company is in the process of adjusting and correcting its books at the end of 2017. In reviewing its records, the following information is compiled. 1. Royalty has failed to accrue...

Q:

Distinguish between the concepts of mission and vision.

Q:

5.6 Analysis of the Statement of Cash Flows The statements of cash flows shown below are from an anonymous IFRS-compliant Swedish company: Notes 2017 SKK 000s 2016 SKK 000s Profit before tax...

Q:

21. As you prepare your projects risk management plan, and since the project involves setting up a new production line for innovative gadget gifts for techies, you should review the: A. Occupational...

Q:

The fixed costs of producing a Wild Widget are $34,000. The variable costs are $5.00 per widget. What is the average cost per widget of producing 7,000 Wild Widgets? Round to the nearest cent.

Q:

Wanda's Widgets used market surveys and linear regression to develop a demand function based on the wholesale price. The demand function is q = -140p + 9,000. The expense function is E = 2.00q +...

Q:

Wind Up Corporation manufactures widgets. The monthly expense equation is E = 3.20q + 56,000. They plan to sell the widgets to retailers at a wholesale price of $6.00 each. How many widgets must be...

Q:

Assume these are the stock market and Treasury bill returns for a 5-year period: What was the risk premium on common stock in each year

Q:

What is the output of the following program when the method is called with 5? void unknown(int n) if (n>0) unknown(n-1); System.out.print("?"); a. ???? b. ????? c. ?????? d. None of the above

Q:

Part Quality Supplier Good Minor Defect Major Defect A 100 5 8 B 160 27 4 C 150 11Chi Square - Test of Independence ChiSquare - Test of Independence Question 20 (4 points) DATA contains Part Quality...