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
LiRa [457]
3 years ago
11

Which pair of expressions represents inverse functions

Mathematics
2 answers:
Natali5045456 [20]3 years ago
7 0

Answer: C. \dfrac{x+3}{4x-2} and \dfrac{2x+3}{4x-1}


Step-by-step explanation: if a function f(x) has g(x) as its inverse then it satisfies fog(x)=x and gof(x)=x

C. f(x)=\dfrac{x+3}{4x-2} and g(x)=\dfrac{2x+3}{4x-1}

   fog(x)=f(\dfrac{2x+3}{4x-1})

              =\dfrac{\dfrac{2x+3}{4x-1}+3 }{\dfrac{4(2x+3)}{4x-1}-2 }

               =x

   gof(x)=g(\dfrac{x+3}{4x-2})

              =\dfrac{\dfrac{2(x+3)}{4x-2} +3}{\dfrac{4(x+3)}{4x-2}-1 }

               =x

hence C. is the pair of inverse functions


s344n2d4d5 [400]3 years ago
5 0

Answer:

<h2>C.</h2>

Step-by-step explanation:

When two functions are inverse of each other, their composition must fulfil the following rule.

f(g(x))=x

That is, if we find their composition, the result must be the independent variable.

If you observe closely, the function given by choice C has some similarity, let's evaluate them to see if they are inverse functions.

f(x)=\frac{x+3}{4x-2}\\ g(x)=\frac{2x+3}{4x-1}

f(g(x))=\frac{(\frac{2x+3}{4x-1})+3}{4(\frac{2x+3}{4x-1} )-2} \\f(g(x))=\frac{\frac{2x+3+12x-3}{4x-1}}{\frac{8x+12}{4x-1}-2 }\\ f(g(x))=\frac{\frac{2x+3+12x-3}{4x-1} }{\frac{8x+12-8x+2}{4x-1} } =\frac{14x}{14}=x

Therefore, the pair of functions which are inverse are the given by choice C.

You might be interested in
Which of the following statements uses the commutative property of addition?
rosijanka [135]
C is what I would say
8 0
3 years ago
Read 2 more answers
Can someone help me with this question
Fofino [41]
Answer B
I could be wrong
Explanation
6 0
3 years ago
Read 2 more answers
Parker signed up for a streaming music service that costs $6 per month. The service
TEA [102]

Answer:

Parker will have to pay $31 in a month in which he downloaded 50 songs.

Total amount Parker will pay for s songs = 6 + 0.50s

Step-by-step explanation:

Cost per month = $6

Cost of Offline download = $0.50 per song

A. How much total money would

Parker have to pay in a month in which he downloaded 50 songs?

Total amount Parker will pay = $6 + $0.50(50)

= 6 + 25

= $31

Parker will have to pay $31 in a month in which he downloaded 50 songs.

B. How much would

he have to pay if he downloaded s songs?

Total amount Parker will pay for s songs = $6 + $0.50 * s

= $6 + $0.50s

Total amount Parker will pay for s songs = 6 + 0.50s

7 0
3 years ago
200 feet in 5 minutes
aleksandrvk [35]

Answer:

Step-by-step explanation:

Feet per minute is a unit of Speed or Velocity in both US Customary Units as well as the Imperial System. It measures the number of feet traveled in a minute. The symbol for feet per minute is ft/m.

4 0
3 years ago
Lucy’s house is located at the point shown on the coordinate grid. Ainsley’s house is located 2 units right and 3 units down fro
dybincka [34]

Answer: 3,3

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • How can we tell if a number is divisible by 4?
    9·1 answer
  • Please help me answer this question. I dont understand any of this.. I will mark brainliest.
    12·2 answers
  • 5. Which of the following linear functions has a graph which passes through points (−5,−2) and (−3,0)?
    15·1 answer
  • 6/7 divided by 14/12
    9·2 answers
  • PLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLZZZZZZZZZZZZZ HELP ASAP 10 POINTSSSSS &gt; &lt; and plz do both if u know them! &lt;3 &lt;3
    12·2 answers
  • Elaciona cada expresión con la imagen del peso corespondiente
    7·1 answer
  • 6th grade math easy work
    13·1 answer
  • Please help! This is the last question for my math test and I really need a good grade!
    8·1 answer
  • I will mark you brainiest if you can answer this
    13·1 answer
  • Find the value of X.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!