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
Allisa [31]
3 years ago
9

If f(x)=1/6x+12, then f^-1(x)= PLEASE HELP

Mathematics
1 answer:
Finger [1]3 years ago
5 0

f(x)=\dfrac{1}{6}x+12\to y=\dfrac{1}{6}x+12


Change x to y, and y to x.


x=\dfrac{1}{6}y+12


solve for y:


\dfrac{1}{6}y+12=x\ \ \ |-12\\\\\dfrac{1}{6}y=x-12\ \ \ \ |\cdot6\\\\y=6x-72


Your answer is:


f^{-1}(x)=6x-72

You might be interested in
Find the average rate of change of g(x) = 1x3 + 2 from x =<br> 1 to x = 4
Oksi-84 [34.3K]

Answer:

Step-by-step explanation:

Explanation:

The

average rate of change

of g(x) over an interval between 2 points (a ,g(a)) and (b ,g(b) is the slope of the

secant line

connecting the 2 points.

To calculate the average rate of change between the 2 points use.

∣

∣

∣

∣

∣

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

a

a

g

(

b

)

−

g

(

a

)

b

−

a

a

a

∣

∣

∣

−−−−−−−−−−−−−−−

g

(

6

)

=

6

2

−

6

+

3

=

33

and

g

(

4

)

=

4

2

−

4

+

3

=

15

Thus the average rate of change between (4 ,15) and (6 ,33) is

33

−

15

6

−

4

=

18

2

=

9

This means that the average of all the slopes of lines tangent to the graph of g(x) between (4 ,15) and (6 ,33) is 9

3 0
3 years ago
The questions is on the picture
allochka39001 [22]

Answer:

EASY:

Step-by-step explanation:

-7 > -12    

2 > -2

-5 < -3

|-9| is maybe 9.

|13| is 13.

|-5| is maybe 5.

5 0
3 years ago
Read 2 more answers
Triangle angle - sum theorem<br> what is the value of y?
dangina [55]

Answer:

y = 5

Step-by-step explanation:

All angle measures in a triangle add up to 180°.

  • This means that 63 + 82 + 7y = 180

<u>Solving for Y:</u>

Step 1: Combine like terms.

  • (7y) + (63+82)=180
  • 7y + 145 = 180

Step 2: Subtract 145 from both sides.

  • 7y + 145 - 145 = 180 - 145
  • 7y = 35

Step 3: Divide both sides by 7.

  • \frac{7y}{7} = \frac{35}{7}
  • y = 5

Step 4: Check if solution is correct.

  • 7(5) + 63 + 82 = 180
  • 35 + 63 + 82 = 180
  • 98 + 82 = 180
  • 180 = 180

Therefore, y = 5.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

3 0
2 years ago
Mr Ansah gave a portion of money to his two children.he gave 35% of it to his daughter and 20% to his son . If he had 495 left,
Veseljchak [2.6K]

Answer: 1100

Step-by-step explanation: mark x for the total sum.

0.35x+ 0.20x + 495 = x. 495= x-0.35x-0.20x

495= 0.45x. X= 495/0.45

5 0
2 years ago
For bone density scores that are normally distributed with a mean of 0 and a standard deviation of​ 1, find the percentage of sc
Shkiper50 [21]

Answer:

a) Scores of 2 and higher are significantly high

b) Scores of -2 and lower are significantly low

c) Scores between -2 and 2 are not significant.

Step-by-step explanation:

Mean = 0

Standard deviation = 1

a. significantly high​ (or at least 2 standard deviations above the​ mean).

2 standard deviations above the mean is:

0 + 1*2 = 2

So scores of 2 and higher are significantly high

b. significantly low​ (or at least 2 standard deviations below the​ mean).

2 standard deviations below the mean is:

0 - 1*2 = -2

So scores of -2 and lower are significantly low

c. not significant​ (or less than 2 standard deviations away from the​ mean).

2 standard deviations above the mean is:

0 + 1*2 = 2

2 standard deviations below the mean is:

0 - 1*2 = -2

So scores between -2 and 2 are not significant.

3 0
3 years ago
Other questions:
  • The sum of two numbers is 51 and the difference is 15 . What are the numbers?
    11·1 answer
  • Which of the following are the equations for the parent function and the transformed parent function represented by the graph?
    15·1 answer
  • The endpoints of a segment are (–5, –3) and (0, 2). What are the endpoints of the segment after it has been translated 4 units u
    7·2 answers
  • Evaluate the following
    11·1 answer
  • HELPPP pweaseeee :( im confused again
    15·1 answer
  • Which expression entered into a graphing calculator will return the probability
    9·1 answer
  • Can you also help me with this one?
    13·2 answers
  • Riley invested $5,100 in an account paying an interest rate of 7\tfrac{3}{4}7 4 3 ​ % compounded quarterly. Ryan invested $5,100
    8·1 answer
  • HELP WILL GIVE BRAINLIEST
    15·2 answers
  • Solve for x: √x + 3-4=7
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!