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Mariana [72]
3 years ago
9

If f(x) = 6x + 3, find −1 ().

Mathematics
1 answer:
lianna [129]3 years ago
6 0

Answer:

f^{-1}(x)=(1/6)x-(1/2)

Step-by-step explanation:

we have

f(x)=6x+3

Find the inverse function f^{-1}(x)

step 1

Let

y=f(x)

y=6x+3

step 2

Exchanges variables, x for y and y for x

x=6y+3

step 3

isolate the variable y

x=6y+3

6y=x-3

y=(1/6)x-(1/2)

step 4

Let

f^{-1}(x)=y

f^{-1}(x)=(1/6)x-(1/2)

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I think the answer is 62 cm2

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cho tứ giác ABCD. Gọi M,N,P,Q là trung điểm của các cạnh AB, CD, AD, BC. Chứng minh rằng vecto MP = vecto QN, vecto MQ = vecto P
Dmitriy789 [7]

Answer:

Step-by-step explanation:

Xét tam giác DAB có: P là trung điểm AD, M là trung điểm AB

=> MP là đường trung bình của tam giác DAB => MP//BD và MP=\frac{1}{2}BD  (1)

Xét tam giác DBC có: N là trung điểm DC, Q là trung điểm BC

=> QN là đường trung bình của tam giác DBC => QN//BD và QN=\frac{1}{2}BD  (2)

Từ (1) và (2) => vecto MP song song cùng chiều với vecto QN

và độ dài MP = độ dài QN = \frac{1}{2}BD

=> vecto MP = vecto QN

Tương tự xét các tam giác DAC và tam giác ABC => vecto MQ = vecto PN

4 0
3 years ago
LAW OF SINES??? NEED HELP.​
snow_tiger [21]

Answer:

Step-by-step explanation:

We know by the Triangle Angle-Sum Theorem that the angles of a triangle all add up to equal 180.  So we find angle B:

180 - 82 - 55 = 43

So angle B = 43.  Now we can use the Law of Sines to solve for side b:

\frac{sin(55)}{8}=\frac{sin(43)}{b}

Cross multiply to get

b sin(55) = 8 sin(43) and divide to solve for b:

b=\frac{8sin(43)}{sin(55)} so

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Your friend has prepared his mountly budget and asks you if he has overlooked anything in this planning. Which of the following
cluponka [151]
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3 years ago
Given f(x)=2x+3 find x=9 show your work
Allushta [10]

Answer:

f(9) =21

Step-by-step explanation:

I will assume you want to find f(9) when x=9

Let x=9

f(9) = 2(9) +3

    = 18+3

     =21

f(9) =21

7 0
3 years ago
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