1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Hunter-Best [27]
3 years ago
8

Suppose f(x) = 2x-1 and g (x) = x + 1/a. Which value(s) of a would make the composite functions commutative? A. 0 B. 2 C. any va

lue of a D. no value of a

Mathematics
2 answers:
Tamiku [17]3 years ago
8 0

Answer:

2

Step-by-step explanation:

A commutative function means that when you insert one function in space of x in the other function, they will equal x. The equation is f(g(x)) = g(f(x)) = x

So, 2(\frac{x+1}{a}) - 1 = \frac{(2x-1)+1}{a}

If you multiply both sides by <em>a</em>, you get   2<em>a</em>(\frac{x+1}{a}) - a = (2x-1)+1

Simplify it                                                   2<em>a</em>(\frac{x+1}{a}) - <em>a</em> = 2x

Add <em>a</em> to both sides                                    2<em>a</em>(\frac{x+1}{a})  = 2x +<em>a</em>

The two <em>a</em>s on the left cancel out                   2(x+1)=2x+<em>a</em>

Distribute the 2                                               2x+2=2x+<em>a</em>

Then subtract 2x from both sides                        2 = <em>a</em>

Therefore, <em>a</em> = 2

Hope this helps!

DanielleElmas [232]3 years ago
6 0

Answer:2

Step-by-step explanation:

You might be interested in
Need help can’t get this question wrong. Am I doing this right. And how would I write this. When I get the answer. Very confused
olya-2409 [2.1K]
Please show the question you’re confused about. We can’t help if we don’t know the problem :)
5 0
3 years ago
ABCDEFGHIJ is a regular decagon and the measure of &lt;D is 144º. What is the measure of &lt;A?
AnnyKZ [126]

Answer:

1. 144⁰

2. 60⁰

Step-by-step explanation:

The formula to find the measure of the interior angles of a regular polygon is:

m< = (n - 2) • 180/n where n = the number of sides

For a decagon, there are 10 sides.

m< = (10-2) • 180/10 = 144°

A regular polygon/equilateral triangle is defined as having equal sides and angles.

4 0
3 years ago
Read 2 more answers
Which triangle is NOT similar to the other three?
Liono4ka [1.6K]

it would be triangle D

4 0
3 years ago
Read 2 more answers
Write the set of real numbers from -10 through 10 in interval notation.
alexdok [17]

Answer:

Interval: [-10.10]

Step-by-step explanation:

Given

Set: -10 to 10

Required

Write as interval notation

We start by writing the given parameter as an inequality

Inequality: -10 \leq x \leq 10

The direct representation of \leq and \geq in interval representation of sets is [ and ], which shows that the beginning and end of the interval are inclusive;

So, the above inequality in interval notation is:

Interval: [-10.10]

3 0
3 years ago
Charlie reads quickly. He reads 1\dfrac371 7 3 ​ 1, start fraction, 3, divided by, 7, end fraction pages every \dfrac23 3 2 ​ st
OLEGan [10]
<h2>Answer:</h2>

The number of pages he will read in one minute is:

        2\dfrac{1}{7}\ \text{pages}

<h2>Step-by-step explanation:</h2>

It is given that:

Charlie reads 1\dfrac{3}{7}\ \text{pages} in every \dfrac{2}{3}\ \text{minutes}.

We know that:

1\dfrac{3}{7}=\dfrac{10}{7}

This means that:

Charlie reads \dfrac{10}{7}\ \text{pages} in every \dfrac{2}{3}\ \text{minutes}.

This means that:

\text{In}\ \dfrac{2}{3}\ \text{minutes he reads}\ \dfrac{10}{7}\ \text{pages}\\\\\text{Hence}

\text{In}\ 1\ \text{minute he will read}\ \dfrac{\dfrac{10}{7}}{\dfrac{2}{3}}\ \text{pages}

\text{In}\ 1\ \text{minute he will read}\ \dfrac{10\times 3}{7\times 2}\ \text{pages}

Hence,

\text{In}\ 1\ \text{minute he will read}\ \dfrac{15}{7}\ \text{pages}

Hence,

\text{In}\ 1\ \text{minute he will read}\ \dfrac{15}{7}\ \text{pages}

\text{In}\ 1\ \text{minute he will read}\ 2\dfrac{1}{7}\ \text{pages}

4 0
3 years ago
Read 2 more answers
Other questions:
  • Use what you know about translations of functions to analyze the graph of the function f(x) = (0.5)x−5 + 8. You may wish to grap
    11·2 answers
  • There are 12 brown socks and 6 blue socks in a drawer. In the dark, Jason pulls out a sock and puts it on his right foot. Then h
    14·1 answer
  • The volume inside of a sphere is V=4πr33 where r is the radius of the sphere. Your group has been asked to rearrange the formula
    10·1 answer
  • What is the 8th term in the sequence?<br><br><br> an=25−3n
    12·1 answer
  • The equation of the line is y= 17.63x + 27.52 what is the best interpretation of the y intercept of the line
    11·1 answer
  • if you have a geometric series in sigma notation , how do you find the common ratio without expanding the series ?
    8·1 answer
  • Simplify the expression. Write answer without spaces between terms and signs.
    10·2 answers
  • Tom's coach keeps track of the number of plays that Tom carries the ball and how many yards he gains. Select all the statements
    15·1 answer
  • Using partial quotients, which would be the best choice for the first number to subtract in the division problem 5,166 42?
    9·1 answer
  • Please help (images below)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!