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
meriva
2 years ago
10

Which row function are inverses of each other?

Mathematics
1 answer:
Nikolay [14]2 years ago
6 0

Answer:

Third Option

f(x) = 4x,\ g(x)=\frac{1}{4}x

Step-by-step explanation:

For a function f(x) it is satisfied that the range of f(x) is equal to the domain of its inverse function. In the same way the domain of f(x) is equal to the range of its inverse.

Therefore, to verify which pair of functions are inverse to each other, perform the composition of both functions and you must obtain

f(g(x)) = x  and   g(f(x)) = x

<u>For the first option we have:</u>

f(x) = x,\ g(x)=-x

Then

f(g(x)) = (-x) = -x  <em>They are not inverse functions</em>

<u>For the second option we have:</u>

f(x) = 2x,\ g(x)=-\frac{1}{2}x

Then

f(g(x)) = 2(-\frac{1}{2}x) = -x  <em>They are not inverse functions</em>

<u>For the third option we have:</u>

f(x) = 4x,\ g(x)=\frac{1}{4}x

Then

f(g(x)) = 4(\frac{1}{4}x) = x

g(f(x)) = \frac{1}{4}(4x) = x <em>They are inverse functions</em>

<u>For the fourth option we have:</u>

f(x) = -8x,\ g(x)=8x

Then

f(g(x)) = -8(8x) = -64x  <em>They are not inverse functions</em>

You might be interested in
A video game randomly generates in-game items for players. Elizabeth records the items she receives. Based on the items Elisabet
Ilya [14]

Answer:

I have no idea what you think it is

7 0
2 years ago
Read 2 more answers
What is the slope of this line?
Dmitrij [34]
I believe it’s -2/-4.
4 0
2 years ago
10. DIG DEEPER! A muffin tray has
Gekata [30.6K]
No, because if you add 184 and 145 you get 329. then you would take 329 and divide it by 60 because that’s how much each mold holds. that comes out to be 5.48 (rounded). you would be able to fill 5 molds, but not enough batter for 6
3 0
2 years ago
​Ramona's Garage charges the following labor rates. All customers are charged for at least 0.5 hr.
algol13

Answer:

a. The linear function is given by,

y = 60x + 30  [y is in $ and x is in hour and x ≥ 0.5]

  = 60 [for x < 0.5]

b. The total cost of the repair job is,  $ 675 .

Step-by-step explanation:

Let, the linear function describing garage charge( y in $) and no. of hours of repair job ( x in hour) be,

y = mx + c    [for x ≥ 0.5]  -----------(1)

where, m is the slope of the line and c is the y intercept.

Now ,

m = \frac {90 - 60}{1 - 0.5}

  = 60  ----------------(2)

Now, putting the value of m and the point (x,y) = (0.5, 60) in (1), we get,

60 = 60 \times 0.5 + c $

⇒ c = 30 ----------------- (3)  

Hence, the linear function is given by,

y = 60x + 30  [y is in $ and x is in hour and x ≥ 0.5] ------------(4)

  = 60 [for x < 0.5]

Now, putting

x = 4 hr 15 min

= 4\dfrac {15}{60} hour

= 4.25 hour in (4), we get,

y = 60 \times 4.25 + 30  [in $]

= $ 285

So, the total cost of the repair job,

= $ (285 + 390)

= $ 675

3 0
3 years ago
What is the least common denominator of 3, x, and x?
sergiy2304 [10]

Answer:

Step-by-step explanation:

LCD

you have 1 x not 2.

Suppose you have

y/3 + 3y/x + 7y / x

Unless there is something different about the question, you need only 1 x. The other one get's absorbed.

Answer: LCM = 3 * x

7 0
1 year ago
Other questions:
  • What is the relationship of the line 3x - y = 5 to the line 6x - 2y = -7?
    13·1 answer
  • You have to solve this . Calculate the diameter of a human red blood cell is 0.000006 m. Write the diameter in scientific notati
    13·1 answer
  • Give another name for plane n​
    6·1 answer
  • QUESTION 1
    8·1 answer
  • Please help me with this. I thought the answer was 9 but I was wrong.
    14·2 answers
  • The temperature at the beginning for the day is 32°Friday and drops to -6°Friday by midnight. How many degrees did the temperatu
    8·1 answer
  • Would the inequality y &gt; 2x - 5 have a solid line or a dashed line and why?
    5·1 answer
  • Write an equation of the line that passes through (2,-4) and (0,4)
    10·1 answer
  • Find the value of x.
    8·1 answer
  • Sara wants to find the input value that produces the same output for the functions represented by the tables.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!