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
Dahasolnce [82]
2 years ago
7

If R(x) and S(x) are inverse functions, which statement must be true? A) R(S(X))=1 B) R(S(X))=X C) R(X) R(X)= 1/S(x) D) R(x)=-S(

x)
Mathematics
2 answers:
Aliun [14]2 years ago
7 0
The answer will be B)R(S(X))=X
Irina-Kira [14]2 years ago
3 0

<u>ANSWER:</u> The correct answer is R(S(x))=x.


<u>Explanation</u>

The composition of a function of x and its inverse will produce the independent variable x.


For instance, let f(x)=2x.

The inverse of this function is f^{-1}(x)=\frac{x}{2}.


If we compose these two functions, we will obtain;


(f\circ f^{-1})(x)=f(f^{-1}(x))


This means we have to substitute the whole inverse function in to the function itself.

(f\circ f^{-1})(x)=f(f^{-1}(x))=2(\frac{x}{2})=x


The other way round will also produce the same result.


Thus;

(f^{-1}\circ f(x)=f^{-1}(f(x))=(\frac{2x}{2})=x


This does not only apply to the given example it applies to all functions and their inverse.





You might be interested in
Emma started babysitting her neighbor. After babysitting for 5 hours, she made $37.50. What is her babysitting pay rate?
LUCKY_DIMON [66]

Answer:

$7.50

Step-by-step explanation:

Hourly Pay * 5 = 37.5

Rearrange to find the hourly pay

Hourly pay = 37.5 / 5 = 7.5

5 0
3 years ago
The area of the rectangle shown is 17.36 square yards. What is the perimeter?
Nostrana [21]

Answer:

16.67

Step-by-step explanation:

Each side is about 4.167 yards so the perimeter is roughly 16.67 yards

5 0
3 years ago
The table shows the solution to the equation|2x-5|-2=3: which is the first step
Anastaziya [24]
|2x - 5| - 2 = 3      |add 2 to both sides

|2x - 5| = 5 ⇔ 2x - 5 = 5 or 2x - 5 = -5    |add 5 to both sides

2x = 10 or 2x = 0      |divide both sides by 2

x = 5 or x = 0
5 0
2 years ago
Please help me with the answers
Illusion [34]

Answer:

slope= 3/1

y-intercept (0,2)

y= 3/1 b + 2

4 0
2 years ago
The dot plot below shows the number of cakes 31 chefs made in a week: Dot plot labeled Number of Cakes Made shows 4 dots over 1,
Paraphin [41]
The median, because the data is not symmetric and there are outliers is the data is not symmetric and there are outliers.

The median of the data set is 8 cakes, while the average is 7.5.

However, 21 of the 31 chefs, or roughly 2/3, made 8 or more cakes. This makes the median a better center for this data, since the data is clearly skewed. The four chefs that made 1 cake each brings the average down, skewing the mean and making the median a better representation of the data. 
8 0
3 years ago
Read 2 more answers
Other questions:
  • One baseball team played 40 games throughout their entire season. If this baseball team won 14 of those games, then what percent
    12·1 answer
  • What number is 300% of six
    11·2 answers
  • The pront for a company this year was $100,000. Each year the profit increases at a rate
    9·1 answer
  • Given 4x = a + b 8c , rearrange the equation for a, in terms of b, c, and x.
    6·1 answer
  • Complete the following statement.<br> 16/<br> = -8
    8·2 answers
  • Determine whether the series converges:<br> sum(k=1 -&gt; infinity) [1/(1+lnk)]
    13·1 answer
  • Solve for w<br> -4(2+1) = -24
    7·2 answers
  • 10. You are buying meat for a cookout. You need to buy 8 packages of meat. A
    6·1 answer
  • A bobsled team is practicing runs on a track. Their first run takes 4.85 minutes. On each of the next two run the team theme cha
    13·1 answer
  • Among 43,592 in-hospital patients who had cardiac arrest during the day, 23,549 survived. Among 27,963 patients at night, 7,804
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!