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d1i1m1o1n [39]
3 years ago
13

If f(x)=-3x+3, then f-1(x)=​

Mathematics
2 answers:
zheka24 [161]3 years ago
7 0

Answer:

Step-by-step explanation:

Find the inverse of f(x)=-3x+3.

1.  Replace "f(x)" with "y:"      y = -3x + 3

2.  Interchange x and y:        x = -3y + 3           -x + 3

3.  Solve this result for y:  3y = -x + 3, or   y = -----------

                                                                                3

                                                   -1

4.  Replace "y" with the label "f      (x):"

  -1                -x + 3

f      (x) = --------------------

                          3

olganol [36]3 years ago
6 0

Answer: f^{-1}(x) = 3-x/3

Step-by-step explanation: Let y = f(x) and rearrange making x the subject, that is...

1. y = - 3x + 3 ( add 3x to both sides )

2. 3x + y = 3 ( subtract y from both sides )

3. 3x = 3 - y ( divide both sides by 3 )

4. x = 3-y/3

Change x back into terms of y

f^{-1}(x) = 3-x/3

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20. Solve for x when 18x = 2/3 Provide your answer as a fraction. please do not do website​
serious [3.7K]
18x/18 = 2/3 • 18
Flip reciprocal of 18 which is 1/18 so it would be 2/3 • 1/18 the 2 and 18 can be simplified when cross multiples so it would then be 1/3 • 1/9 which is x=1/27
3 0
2 years ago
3. Consider the following information.P(Z) = 0.73P(A) = 0.25P(Z and A) = 0.15Part A: Determine P(Z|A).Part B: Determine P(AZ).I
krok68 [10]

Ok, so:

For Part A, we have: P(Z|A)=P(Z and A)/P(A)

And if we replace, we got:

P(Z|A) = (0.15)/(0.25) and this is equal to 0.6.

For Part B, we have: P(A|Z)=P(Z and A)/P(Z)

P(A|Z) = (0.15)/(0.73) and this is equal to 0.205.

4 0
1 year ago
Alex saved x dollars.
steposvetlana [31]
Answer:
Ethan = 1.(3x)

Step-by-step explanation:
Let's split "Ethan saved 1/3 more than that"
That = x
So, Ethan saved 1/3 more than x
Meaning that Ethan = x + 1/3x
Combine like terms
Ethan = 1 1/3x
which equals to
Ethan = 1.(3x)

Hope this helps :)
Have a great day


4 0
2 years ago
What is the greatest common factor of the polynomial below?
Aleks [24]
The correct answer is D, 6x
7 0
3 years ago
Alex, Bob, and Claudia split 126 cm wire evenly among themselves. They then proceeded to cut their pieces of wire into smaller,
Westkost [7]
<h3>Answer:</h3>
  • Bob
  • 18 cm
<h3>Step-by-step explanation:</h3>

If Alex cut his wire 18 times, he ended up with 19 equal pieces. He kept 7, so has 7/19 of his 1/3 of the wire.

Bob cut his wire 20 times, so ended up with 21 pieces, of which he kept 9. So he has 9/21 = 3/7 of his 1/3 of the wire.

Claudia kept 1/13 of her 1/3 of the wire, so has the smallest piece.

Bob kept (3/7)·(1/3)·126 cm = 18 cm.

Alex kept (7/19)·(1/3)·126 cm ≈ 15.47 cm.

Bob kept the longest part of the original wire.

3 0
3 years ago
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