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]
3 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]3 years ago
7 0
The answer will be B)R(S(X))=X
Irina-Kira [14]3 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
There are 5 white roses to every 9 red roses in the garden
KiRa [710]

Answer:

Step-by-step explanation:

ummm what there is no question!

5 0
3 years ago
A type of bar graph that shows continuous data and the frequency of the data in equal intervals
Readme [11.4K]
Histogram is your answer 
7 0
3 years ago
Read 2 more answers
What is mean in math
PSYCHO15rus [73]
The mean is the average of the numbers. to find the mean add up the numbers and divide by how many numbers there are
6 0
3 years ago
I've been stuck on this for a long time. I would greatly appreciate help.
choli [55]
The vertex is (8,7)
the minimum value is 7
the vertex form is y=(x-8)^2 +7
the minimum value of y=7

i hope this helps!
7 0
3 years ago
1. Determine the measure of the unknown angles indicated by letters. Justify your answers with
Maurinko [17]

Answer:

hello,

Step-by-step explanation:

a)

In an isocele triangle, base's angles have the measure:

42+2a=180

2a=180-42

a=69(°)

b)

in a triangle, an external angle has for measure the sum of the angles not adjacents.

55+b=132

b=77 (°)

c)

in a quadrilater the sum of the (interior) angles is 2*180=360 degrees.

90+90+68+c=360

c=360-90-90-68

c=112 (°)

7 0
2 years ago
Other questions:
  • 5 x 2/3<br><br> HELP PLEASE!!!!!!!!!!!
    11·2 answers
  • Suppose w=xy+yzw=xy+yz, where x=et,y=2+sin(4t)x=et,y=2+sin(4t), and z=2+cos(3t)z=2+cos(3t).
    15·1 answer
  • How much times does 18 go into 109
    7·2 answers
  • A dollar bill weighs 1 gram, and a penny weighs 25 decigrams. How much do a dollar bill and a penny weigh together?
    6·2 answers
  • Calculate the determinant of this matrix step 1: what is the first step
    10·2 answers
  • How is Social Security calculated?
    6·2 answers
  • Donald has x twenty-dollar bills and 11 ten-dollar bill. How much money does Donald have? Write your answer as an expression.
    5·2 answers
  • PLZ HELP ME ASAP W THIS !!!
    11·1 answer
  • The measure of an angle formed by _blank_ is half the sum of the measures of the intercepted arcs
    14·1 answer
  • If 8 cakes cost $62.40, how much would 3 cakes cost?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!