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
kaheart [24]
3 years ago
8

Helppp!! I NEED HELP PLEASE

Mathematics
1 answer:
Elodia [21]3 years ago
5 0

Given:

The table of values for the function f(x).

To find:

The values f^{-1}(f(3.14)) and f(f(-7)).

Solution:

From the given table, it is clear that the function f(x) is defined as:

f(x)=\{(-14,11),(-7,-12),(-12,-5),(9,1),(10,-2),(-2,13)\}

We know that if (a,b) is in the function f(x), then (b,a) must be in the function f^{-1}(x). So, the inverse function is defined as:

f^{-1}(x)=\{(11,-14),(-12,-7),(-5,-12),(1,9),(-2,10),(13,-2)\}

And,

f^{-1}(f(a))=f^{1}(b)

f^{-1}(f(a))=a              ...(i)

Using (i), we get

f^{-1}(f(3.14))=3.14

Now,

f(f(-7))=f(-12)

f(f(-7))=5

Therefore, the required values are f^{-1}(f(3.14))=3.14 and f(f(-7))=5.

You might be interested in
Please help, will mark brainliest
Ganezh [65]

Answer:

y = 120x

Step-by-step explanation:

y=mx + b is what we need where m is the slope and b is the y-intercept.

the train travels at about 120km/hour, thus the slope is 120.

y= 120x +b. to find the y intercept plug in any coordinate.

240 = 120(2) +b. you find that the y-intercept is 0.

final equation: y= 120x

3 0
3 years ago
Read 2 more answers
A woman bought some large frames for $10 each and some small frames for $5 each add a closeout sale if she bought 20 frames for
vampirchik [111]

Answer:

The quantity of large frames is 7

The quantity of small frames is 13

Step-by-step explanation:

Given as :

The price of each large frames = $ 10

The price of each small frames = $ 5

The total number of both frames bought = 20

The price for both the frames = $ 135

Now,

Let the quantity of large frames = L

And The quantity of small frames = S

So , According to question

The total number of both frames bought = 20

Or, The quantity of large frames + the quantity of small frame = 135

Or, L + S = 20         ......A

And $ 10 L + $ 5 S = $ 135                         ................B

Or, $ 10× ( L + S ) = $ 10× 20

Or, $ 10 L + $ 10 S = $ 200

(  $ 10 L + $ 10 S ) - ( $ 10 L + $ 5 S ) = $ 200 - $ 135

Or , ( $ 10 L - $ 10 L ) + ( $ 10 S - $ 5 S ) = $ 65

Or, 0 + 5 S = 65

∴  S = \frac{65}{5}

I.e S = 13

So, The quantity of small frames = S = 13

Put the Value of S in eq A

So , L + S = 20

Or, L = 20 - S

Or, L = 20 - 13

∴   L = 7

So, The quantity of large frames = L = 7

Hence The quantity of large frames is 7

And   The quantity of small frames is 13   Answer

7 0
3 years ago
How many times can 15 go into 75
Anestetic [448]
It goes into 5 times hope you enjoy
5 0
3 years ago
Read 2 more answers
Will someone help me with this question plz?
Juli2301 [7.4K]
I attached a picture with the answer, hope this helps :)

7 0
3 years ago
Read 2 more answers
-4 ≥ x + 2 < 1
Reil [10]
-4 line under > SO -4 > x + 2 < 1

                              (-4 > x + 2) and (x + 2 < 1)


                               (x < -6)  and (x < 1)
     
                                Now combine the ranges

                                x line under < SO 

                                x < -6 is your answer

Brainliest if satisfied!!!
8 0
3 years ago
Read 2 more answers
Other questions:
  • The value of y varies directly with x. When y = 7, x = 2. what is the value of x when y is 21?
    5·1 answer
  • Doris paid $316.80 for wallpaper to cover a 24 foot by 12 foot wall. She used all the wallpaper she purchased, with no waste or
    14·1 answer
  • What is the measure of angle x?
    12·2 answers
  • Ruiz invests $5500 at a simple interest rate of 4%. How much interest will he earn after 5 years?
    14·2 answers
  • What is the algebraic representation (rule) of a figure that has been dilated using a scale factor of 2?
    7·1 answer
  • Select the equation that is equivalent to the equation y-3 = 2(x + 5).
    5·1 answer
  • -1/7 × -1/6 = ? i need help finding this answer please
    9·1 answer
  • 5 Miles 17 Deer 5 Mlies Predict the number of deer in a 25 square mile section of the mountains based on the sampling from the f
    14·1 answer
  • Using the following diagram below, please answer the following:
    8·1 answer
  • 13....................
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!