The functions f and g are defined for x R by f: x 4x

Question:

The functions f and g are defined for x ∈ R by f: x ↦ 4x − 1 g: x ↦ 2x + k.

Find the value of k for which fg = gf.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Complete Pure Mathematics 1 For Cambridge International AS & A Level

ISBN: 9780198427438

2nd Edition

Authors: Jean Linsky, Brian Western, James Nicholson

See More Books

Question Posted: Apr 13, 2023 11:00 AM

See More Questions

Functions f and g are defined on R by f (x) := x + 1 and g (x) := 2 if x 1 and g(1) := 0. lim g (f(x) g (lim f(x))
The functions f and g are defined for x R by f: x 4x a g: x b + ax where a and b are constants. Given that f (1) = 2 and g (1) = 3, find the values of a and b.
The functions f and g are defined for x R by f : x 5x 1 g: x x. a) fg(x) b) ff(x) c) gf(-3) d) gg(1).
(a) Show that (x) = 2x + 3x 36x is not one-to-one on (-, ). (b) Determine the greatest value c such that is one-to-one on (-c, c).
A survey of U.S. adults and teens (ages 1217) was administered by Pew Research April 29May 30, 2010, to determine the number of texts sent in a single day. (a) Construct a relative frequency...
what manner does the theme of forbidden knowledge in science fiction and fantasy challenge traditional concepts of morality and ethics? Discuss how this theme intertwines with motifs of technological...
Using the data from Table 3.3, show the effect on world output if each country moved toward specialization in the production of its comparative-disadvantage good. TABLE 3.3 Comparative Advantage as a...
Selected balance sheet accounts for Tibbetts Company on September 30, 2010, are as follows: Cash . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . $ 32,000 Marketable...
Aquazona Pool Company is a custom pool builder. The company recently completed a pool for the Drayna family (Job 1324) as summarized on the incomplete job cost sheet below. Job Cost Sheet Job Number:...
Pecos Company acquired 100 percent of Suaro's outstanding stock for $1,450,000 cash on 1/1/2014, when Suaro had the following balance sheet: Cash - $37,000 Liabilities - ($422,000) Receivables -...
Find the domain. Leave your answer in surd form. f(x) = x 8x + 16, x R, f(x) 6.
Find an expression for f 1 (x), stating its domain. f(x) = 2 + 1/1 x , x R, x 1.
What will be the logic level at C 4 in Example 6-10 ? Data from Example 6-10 Determine the logic levels at the inputs and outputs of the eight-bit adder in Figure 6-11(b) when 72 10 is added to 137...
You are the Chief Operating Officer (COO) of an electrical appliances company, Sung-Sam. Currently you are considering replacing the existing old assembly line with a new one in order to boost the...
What is the directed search domain ,in multiobjective optimization? what processes or steps and basic principles are involved in the directed search domain? How do I use the directed search domain to...
Why would "Discovery" play a role in causing a plaintiff or defendant to seek an alternative to going to court?
what are the 3 legal issues and example the court must decide, the explanation or reasons the court gave for its decisions with regards to intentional and unintentional torts on Gajraj et al. v....
In additional to whistleblowing, explain at least two other exceptions to at-will employment.?
For $150,000, Continental Life Insurance Co. will sell a 20-year annuity paying $1200 at the end of each month. What effective rate of return does the annuitant earn?
Find an equation of the given line. Slope is -2; x-intercept is -2
Answer Problem 10.4 if compliance is as given in Example 10.37. Refer to Table 2.13 (p. 36). Table 2.13: Hospital-stay data
Suppose 11,000 men are actually enrolled in each treatment group. What would be the power of such a study if a two-sided test with = .05 were used and compliance is perfect? Cardiovascular Disease...
Answer Problem 10.1 if a one-sided test with power = .8 is used and compliance is perfect? Cardiovascular Disease Consider the Physicians Health Study data presented in Example 10.37 (p. 411).
Scenario You become the HIM Manager at a facility that has been operating for many years. You soon realize the written policies for the HIM department are not up to your personal standards. After...
You can find the information on the TD Niagara jazz festival website. 1. Describe the recent strategy (and its core elements) of the Niagara Jazz Festival! [max 0.5 page; 5 points in total] 2....
Conflict management: You are the new clinic coordinator in the evening DH clinics with the second year students. You have one new part-time clinical faculty member, Tammy. You have heard students say...

The functions f and g are defined for x R by f: x 4x

Question:

Step by Step Answer:

To find the value of k for which fg gf we need to calculate fg and gf ...View the full answer

Complete Pure Mathematics 1 For Cambridge International AS & A Level

Students also viewed these Mathematics questions