a) Find an expression for f (x), stating its domain. b) Find an expression for a
Question:
a) Find an expression for f−¹(x), stating its domain.
b)
Find an expression for a in terms of x,
a ≠ 0, when f(x) = f(2x + a).
Transcribed Image Text:
f(x)=√√2x+a, x = R, 2x ≥-a.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (4 reviews)
ANSWER a To find an expression for the inverse function of f denoted by f1x we need to solve the equ...View the full answer
Answered By
Aketch Cindy Sunday
I am a certified tutor with over two years of experience tutoring . I have a passion for helping students learn and grow, and I firmly believe that every student has the potential to be successful. I have a wide range of experience working with students of all ages and abilities, and I am confident that I can help students succeed in school.
I have experience working with students who have a wide range of abilities. I have also worked with gifted and talented students, and I am familiar with a variety of enrichment and acceleration strategies.
I am a patient and supportive tutor who is dedicated to helping my students reach their full potential. Thank you for your time and consideration.
0.00
0 Reviews
10+ Question Solved
Related Book For
Complete Pure Mathematics 1 For Cambridge International AS & A Level
ISBN: 9780198427438
2nd Edition
Authors: Jean Linsky, Brian Western, James Nicholson
Question Posted:
Students also viewed these Mathematics questions
-
The function f is defined by f: x x + 2x 1 for 0 x 2. a) Express f(x) in the form (x + a) + b, where a and b are constants. b) State the range of f. c) Find an expression for f 1 (x), stating its...
-
The function f : x 2 4x + k is defined for the domain x p , where k and p are constants. i. Express f(x) in the form (x + a) 2 + b + k, where a and b are constants. ii. State the range of f in...
-
For each of the following functions, find an expression for f 1 (x) and, hence, decide if the graph of y = f(x) is symmetrical about the line y = x. a. b. c. d. f(x): = x + 5 2x - 1 for x ER, x 7 1
-
Format only cells with values greater than maxim 4 tab and select Red color from the pallet (bottom ro Format only cells with values less than minimum and select Yellow color from the pallet (bottom...
-
The Pew Research Center for the People and the Press conducted a poll in which it asked about the availability of abortion. The table is based on the results of the survey. (a) Construct a frequency...
-
Standardized Financial Statements What types of information do common-size financial statements reveal about the firm? What is the best use for these common-size statements? What purpose do...
-
The residual volume is (a) A parameter to express the non-ideality of gases (b) The difference between the volume of real gas and the volume predicted by ideal gas (c) The difference between the...
-
At low to moderate pressures the equilibrium state of the watergas shift reaction CO + H 2 O = CO 2 + H 2 is approximately described by the relation where T is the reactor temperature. K e is the...
-
What is one key factor that contributes to any company's success? Alignment within the company ecosystem, which is achieved through clarity: clarity of vision and purpose, strategy, functional...
-
The results below are based on data collected as part of a student project for an introductory statistics class at UF. If there is more than one group/treatment, the first group mentioned is group 1....
-
A function F is such that a) Find f 1 (x) in the form ax + bx + c, where a, b and c are constants. b) Find the domain of f 1 . f(x) = 2+1, for x 1. 3
-
The graph of y = f(x) is transformed to the graph of y = 5 f(x). Describe fully the two single transformations that have been combined to give the resulting transformation.
-
Complete the following chart by placing an X in the appropriate column. Use the indirect method. Increase in Accounts Receivable Increase in Prepaid Insurance Add to Cash Flow from Operations...
-
What is privity, and what is its status today?
-
True Or False The rationale for the decision in Rylands v. Fletcher has been adopted by the majority of American courts and the Restatement (Second) of Torts.
-
True Or False An implied warranty of merchantability can be disclaimed if the buyer has an opportunity to examine the goods and refuses to do so.
-
True Or False A plaintiff in a breach of existing contractual relations claims cannot recover for breach of contract against the person the defendant induced to breach the contract.
-
What damages can be recovered in a product liability case based on negligence?
-
Light of wavelength 1.03 107 m is emitted when an electron in an excited level of a hydrogen atom undergoes a transition to the n = 1 level. What is the region of the spectrum of this light? What is...
-
Draw and label the E and Z isomers for each of the following compounds: 1. CH3CH2CH==CHCH3 2. 3. 4. CH,CH2C CHCH2CH Cl CH3CH2CH2CH2 CH CH2CCCH2CI CHCH3 CH3 HOCH CH CCC CH O-CH C(CH
-
Are the events A 1 = {mother has influenza} and A 2 = {father has influenza} independent? Suppose an influenza epidemic strikes a city. In 10% of families the mother has influenza; in 10% of families...
-
What is the probability that at least one child will get influenza? Suppose an influenza epidemic strikes a city. In 10% of families the mother has influenza; in 10% of families the father has...
-
Based on Problem 3.12, what is the conditional probability that the father has influenza given that the mother has influenza? Suppose an influenza epidemic strikes a city. In 10% of families the...
-
A metal bowl with a weight of 1.10 N is placed in a larger kitchen container filled with coconut oil. How much coconut oil must the bowl displace in order to float? For reference, the mass density of...
-
Using the fact pattern from assignment one (which is attached below), draft ten interrogatories (only four may come from the standard interrogatories under the South Carolina Rules of Civil...
-
A Campus Republicans fundraiser offers raffle tickets for $11 each. The prize for the raffle is a $300 television set, which must be purchased with the proceeds from the ticket sales. Find a function...
Study smarter with the SolutionInn App