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
In Detroit the high temperature in degrees Fahrenheit for five days in January were -12 , -8 , -3 , 6 , -15. What was the averag
Marianna [84]

Average temperature = (12 - 8 + 3 + 6 - 15) / 5 = -2/5 = -0.4

3 0
3 years ago
Read 2 more answers
How do you figure out the ratio stars to squares when there are 11 squares 5 stars and two circles in the data?
dedylja [7]
Ignore the circles.  The ratio of stars to squares is simply  5 to 11 .
6 0
3 years ago
What is the value of x
zzz [600]

Answer:

x = 5

Step-by-step explanation:

Δ EAB and Δ EDC are similar by the AA postulate , so the ratio of corresponding sides are in proportion , that is

\frac{AB}{DC} = \frac{EA}{ED} , substitute values

\frac{10}{4} = \frac{2x+10}{x+3} ( cross- multiply )

10(x + 3) = 4(2x + 10 ) ← distribute parenthesis on both sides

10x + 30 = 8x + 40 ( subtract 8x from both sides )

2x + 30 = 40 ( subtract 30 from both sides )

2x = 10 ( divide both sides by 2 )

x = 5

8 0
2 years ago
3x²-4x+7 how do I find the domain?
Eddi Din [679]
The domain of this equation is the lowest x value to the highest x value. For example: lowest is -4 and highest is 3. You would write it as [-4,3]

For this equation, the domain is (-infinity,infinity) because there is no lowest or highest x value.
8 0
3 years ago
Please solve with explanation
OverLord2011 [107]

Real life scenarios of acute angles are:

  • Sighting a ball from the top of a building at an angle of 55 degrees.
  • The angle between two adjacent vanes of a fan that has 6 vanes

<h3>What are acute angles?</h3>

As a general rule, an acute angle, x is represented as: x < 90

This means that acute angles are less than 90 degrees.

<h3>The real life scenarios</h3>

The real life scenarios that involve acute angles are scenarios that whose measure of angle is less than 90 degrees.

Sample of the real life scenarios that satisfy the above definition are:

  • Sighting a ball from the top of a building at an angle of 55 degrees.
  • The angle between two adjacent vanes of a fan that has 6 vanes

Read more about acute angles at:

brainly.com/question/3217512

#SPJ1

8 0
1 year ago
Other questions:
  • Determine whether the following arguments are inductive or deductive. If an argument is inductive, determine whether it is stron
    14·1 answer
  • Hasil perhitungan dari akar pangkat dua 9×3+15×5 adalah
    11·1 answer
  • PLZ HELP PLZ I NEED HELP 15 POINTS PLZ HELP
    10·1 answer
  • How do you convert 0.00001 to the power of ten
    7·1 answer
  • 8+3b+-13 WHO WANTS 99 POINTS XD
    14·2 answers
  • You roll a fair 6-sided die. What is the P(Not 1) *
    9·1 answer
  • Solve -50x³y²z² divided by ÷5xyz​
    8·1 answer
  • How many chords are determined by joining dots on a circle
    5·1 answer
  • Can someone answer this correclt just need
    8·1 answer
  • Which coordinate could represent the amount of granola when selling at a unit rate of R pounds per dollar?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!