answer.
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
gregori [183]
2 years ago
10

Use f(x)=1/2x and f^-1(x)=2x to solve the problems f^1(-2), f(-4), f(f^-1(-2)?

Mathematics
2 answers:
neonofarm [45]2 years ago
8 0
F^1(-2) = 2(-2) = -4
f(-4) = 1/2 * -4 =  -2

f(f^-1(x)) = x    so answer is  -2
Goshia [24]2 years ago
8 0

Answer:  The required values are

f^{-1}(-2)=-4,~~f(-4)=-2,~~f(f^{-1}(-2))=-2.

Step-by-step explanation:  We are given a function f(x) and its inverse as follows :

f(x)=\dfrac{1}{2}x,\\\\\\f^{-1}(x)=2x.

We are to find the values of f^{-1}(x),~f(-4),~f(f^{-1}(-2)).

The values are evaluated in the following manner :

f^{-1}(-2)=2\times(-2)=-4,\\\\\\f(-4)=\dfrac{1}{2}\times(-4)=-2,\\\\\\f(f^{-1}(-2))=f(-4)=-2.

Thus, the required values are

f^{-1}(-2)=-4,~~f(-4)=-2,~~f(f^{-1}(-2))=-2.

You might be interested in
Two cars start towards each other from points 200 miles apart .One car travels at 40 miles per hours and the other travel at 35
Vanyuwa [196]

Recall: distance = rate times time.

To determine how far apart the two cars will be after four hours of travel, subtract the sum of the distances traveled from 200 mi:

Distance apart after four hours = 200 mi - (40 mph)(4 hrs) - (35 mph)(4 hrs)

= 200 mi - 160 mi - 140 mi = -100 mi

The wording of your question implies that the cars will not yet have met after four hours of travel. This negative result is absurd. Please ensure that you have copied down the problem completely and accurately.

5 0
2 years ago
The service time distribution describes the probability P that the service time of the customer will be no more than T hours. If
Molodets [167]

Answer: option d.

Step-by-step explanation:

You have the following formul given in the problem:

p=1-e^{-mt}

You know that:

The number of  customers serviced in an hour by the technical support representative is 6 costumbers, therefore:

m=6

As the problem asked for the probability that  a costumber will be on hold less than 30 minutes, we know that:

t=0.5

Substitute the values above into the formula.

Then, you obtain:

p=1-e^{-(6)(0.5)}=0.95 or 95%

7 0
1 year ago
Two angles are complementary. the measure of ∠abc is x° and the measure of ∠dbc is (3x + 10)°. what is the value of x? enter you
Marta_Voda [28]
This problem can be expressed through the equation:
x+3x+10= 90

To solve it we subtract 10 on both sides
→x+3x=80
Add x and 3x
→4x=80
And divide each side by 4
→x=80/4
→x=20

ANSWER:
20
8 0
1 year ago
On a piece of paper, graph this system of inequalities. Then determine which region contains the solution to the system.
kirill115 [55]
B or C  hope its helps...

 

5 0
1 year ago
On zeba's birthday,her uncle gift her two new dolls. in how many ways can zeba arrange all her dolls on 6 shelves, placing one d
Natasha2012 [34]

Answer:

6 is the correct answer

Step-by-step explanation:

Hope it is helpful...

3 0
2 years ago
Other questions:
  • a rectangular flower garden has area of 32 square feet. if the width of the garden is 4 feet less than the length, what is the p
    12·1 answer
  • What is the volume of the cone below height 22 radius 6
    12·2 answers
  • The coordinates of △ABC are A(−11,7), B(−5,−3), C(−2,3). After a dilation, the coordinates are A'(22,−14), B'(10,6), C'(4,−6). F
    8·1 answer
  • Triangles A B C and X Y Z are shown. Which would prove that ΔABC ~ ΔXYZ? Select two options. StartFraction B A Over Y X = StartF
    13·2 answers
  • Dave, Frank, and Kathy can process 1,300 catalog orders per day when all three of them are working. Dave and Frank can do 780 or
    6·1 answer
  • You have 3 online accounts in three different banks valued at: bank "A" = $250.67, 12% interest, bank "B" $765.13, 7% interest,
    5·1 answer
  • Which value of x would make LK ∥ OM? x = 2 x = 2.4 x = 4.8 x = 8
    11·1 answer
  • An art teacher needs to buy at least 60 brushes for her class. The brushes are sold in packs of 8.
    10·1 answer
  • Design Mati QUIZ
    6·1 answer
  • Jose earns $3680 per month, of which 22% is taken out for federal and state income taxes and other required deductions. Last mon
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!