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2 years ago

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

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

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Use long division to find a repeated decimal equivalency for the fraction. Include all of your work as part of your final answer

DIA [1.3K]

8/9

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8.0

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This process will just repeat forever so the answer is .8888888 repeating
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2 years ago

According to a survey published by ComPsych Corporation, 54% of all workers read e-mail while they are talking on the phone. Sup

fomenos

Answer:

0.54,0.8,0.368

Step-by-step explanation:

Given that according to a survey published by ComPsych Corporation, 54% of all workers read e-mail while they are talking on the phone.

Prob for persons who read email while talking on the phone = 54% = 0.54

Prob for persons who read email while talking on the phone to write to do lists = 0.20

Assuming that these figures are true for all workers, if a worker is randomly selected, the probability that

a. The worker reads e-mail while talking on the phone and writes personal "to-do" lists during meetings.

$p =0.54$

b. The worker does not write personal "to-do" lists given that he reads e-mail while talking on the phone.

$p =1-0.20=0.80$

c.The worker does not write personal "to-do" lists and does read e-mail while talking on the phone.

$p=(1-0.20)(1-0.54) = 0.368$

8 0

2 years ago

The volume of a rectangular prism is 2,058 cubic cm. The length of the prism is 3 times the width. The height is twice the width

liraira [26]

Let the width be w, length = 3w and height = 2w

Volume = length x width x height = w x 3w x 2w = 6w^3
6w^3 = 2,058
w^3 = 2,058/6 = 343
w = ∛343 = 7

width = 7 cm

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2 years ago

A balance scale was in perfect balance when Jane placed a box of candy on one pane of the balance and 3/4 of the same sized cand

dangina [55]

Answer:

Step-by-step explanation:

i'm pretty sure that you will have to add it.

so, when we add two fractions such as 3/4 + 3/4, we make sure that the denominators (the bottom numbers) are the same and then we simply add the numerators (the top numbers).

in this problem, the denominators are the same so we will simply add 3+3 which equals to 6/4. the denominator will remain the same.

<em>answer:</em>

3/4 + 3/4 = 6/4

<u>i hope this is helpful. </u>

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serg [7]

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