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Kazeer [188]
3 years ago
9

Given the function f(x) = 6(x+2) − 3, solve for the inverse function when x = 21

Mathematics
1 answer:
nadya68 [22]3 years ago
4 0
Hello,

f(x)=6(x+2)-3=6x+12-3=6x-9

y=6x-9==>x=6y-9==>6y=x+9==>y=(x+9)/6
if x=21 then y=(21+9)/6=30/6=5

f^(-1)(21)=5

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3 years ago
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What is the quotient of 6.591 times 10^7 6 and 8.45 times 10^2 expressed in scientific notation?
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Given: 2x + 11 = 15 Prove: x = 2 Statements Reason 1. 2x + 11 = 15 1. Given 2. 2x = 4 2. 3. X = 2 3. Division Property of Equali
wariber [46]

Answer:

Statements                       Reasons

1. 2x + 11 = 15                    1. Given

2. 2x = 4                            2. Subtraction Property of Equality

3. X = 2                              3. Division Property of Equality

Step-by-step explanation:

An equation can be solved and its solution proven using algebraic theorems and properties. To create a proof, form two columns. Label one side Statements and the other Reasons.

Begin your proof listing the any information given to you. List as the reason - Given.

Then list the next step which here would be to subtract by 11 on both side. The reason is Subtraction Property of Equality. Subtraction is the inverse of addition. Inverse axiom is another acceptable reason.

Then divide both sides by 2. The reason is Division Property of Equality or Inverse axiom once again. See the proof below.

Statements                       Reasons

1. 2x + 11 = 15                    1. Given

2. 2x = 4                            2. Subtraction Property of Equality

3. X = 2                              3. Division Property of Equality

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Anarel [89]

Answer:

Step-by-step explanation:

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change in the value of y = y2 - y1

Change in value of x = x2 -x1

From the graph,

y2 = 160 = final value of y

y 1 = 260 = initial value of y

x2 = 10 = final value of x

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b) initial height of the biker above the Canyon was 360 feets. It is reducing as the time is increasing.

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f) The domain is the set of all possible values of the independent variable and the independent variable is time.

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The domain is 0 lesser than or equal to t lesser than or equal to 18.

The range is the set of all possible values of the dependent variable and the dependent variable is height of the hiker above the Canyon. The maximum height of the hiker was 360 feet and the minimum height of the hiker was 0 feet. Let the height be h.

The range is 0 lesser than or equal to h lesser than or equal to 360

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