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RideAnS [48]
3 years ago
8

F(x)=2x-4. F(x)=2x-4 f-1x=_x+_. Complete the inverse function

Mathematics
1 answer:
natita [175]3 years ago
3 0

Answer:

f^{-1}(x) = \frac{1}{2}(x +4)

Step-by-step explanation:

Given

f(x) = 2x - 4

Required

Determine the inverse function

Start by replacing f(x) with y

y = 2x - 4

Swap the positions of y and x

x = 2y - 4

Make y the subject: <em>Add 4 to both sides</em>

x+4 = 2y - 4+4

x+4 = 2y

Make y the subject: <em>Divide through by 2</em>

<em></em>\frac{1}{2}(x + 4) = y<em></em>

<em></em>y = \frac{1}{2}(x + 4)<em></em>

<em></em>

Replace y with f-1(x)

f^{-1}(x) = \frac{1}{2}(x +4)

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Taya2010 [7]

Answer:

13.38

Step-by-step explanation:

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3 years ago
Read 2 more answers
A - f(2x) <br> B - 1/2f(x) <br> C - f(1/2x) <br> D - 2f(x)
Ulleksa [173]

Answer:

A: f(2x)

Step-by-step explanation:

In this case it can be seen that the x values are being affected by this transformation. This means that we should look for points on f and g with the same y value but different x values. However in this case it is hard to pinpoint easy coordinates to work with. This is where process of elimination can help. We know it cant be B or C because if the dilation ratio is outside the function, the y values would be affected. That leaves it to A or D. We can see that g has shrunk from the original function. Shrinking along the x-values can be notated by the reciprocal of the factor of shrinking. In this case it looks like it shrunk down to half of the originals size. If we take the reciprocal of a half we get 2. Therefore if we plug that in we get:

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3 0
4 years ago
1
uranmaximum [27]

Answer:

1. 1

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4. 1/125

8 0
3 years ago
Jake has decided to invest in three business ventures. The total cost of investing in all three ventures is $15,000. The combine
Arte-miy333 [17]
X = first venture, y = second venture, z = third venture

x + y + z = 15,000
x + z = y + 7000
3x + 2y + 2z = 39,000
these are ur equations.....

x + y + z = 15,000
x - y + z = 7000
--------------------add
2x + 2z = 22,000

x + y + z = 15,000....multiply by -2
3x + 2y + 2z = 39,000
-------------------
-2x - 2y - 2z = - 30,000 (result of multiplying by -2)
3x + 2y + 2z = 39,000
------------------add
x = 9,000

2x + 2z = 22,000
2(9000) + 2z = 22000
18,000 + 2z = 22000
2z = 22000 - 18000
2z = 4000
z = 4000/2
z = 2,000

x + y + z = 15,000
9000 + y + 2000 = 15,000
11,000 + y = 15,000
y = 15,000 - 11,000
y = 4,000

first venture (x) = 9,000 <==
second venture (y) = 4,000 <==
third venture (z) = 2,000 <==
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3 years ago
Read 2 more answers
What is the result of 6 / 2(1 + 2) =
castortr0y [4]
1 plus 2 = 3, then u do 6/2 (3), then 3x3 = 9
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