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xz_007 [3.2K]
4 years ago
12

If F(x) = 4x + 7, which of the following is the inverse of Fx)?

Mathematics
2 answers:
grandymaker [24]4 years ago
7 0

Answer: y=(x/4)-(7/4)

Step-by-step explanation:

The easiest way to solve for an inverse is to switch the x and y variables. For F(x)=4x+7, which is essentially equal to y=4x+7, you switch the x and y variables and get x=4y+7. You then solve for the y variable, as shown below, to obtain the inverse of the equation.

x=4y+7

4y=x-7

y=(x/4)-(7/4)

Shalnov [3]4 years ago
3 0

Answer:

f^{-1}(x) = \frac{x-7}{4}

Step-by-step explanation:

Let y = f(x) and rearrange making x the subject, that is

y = 4x + 7 ( subtract 7 from both sides )

y - 7 = 4x ( divide both sides by 4 )

\frac{y-7}{4} = x

Change y back into terms of x, hence

f^{-1}(x) = \frac{x-7}{4}

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Mira picked two numbers from a bowl. The difference of the two numbers was 4, and the sum of one-half of each number was 18. The
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Answer:

20 and 16

Step-by-step explanation:

Let us find x and y.

x – y = 4 _____(1)

x/2 + y/2= 18___(2)

Multiply (2) by 2 and add to (1)

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6 0
3 years ago
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The solution to a problem is an irrational number. Which statement is true about the solution?
navik [9.2K]

Group of answer choices.

A. It can be expressed as a non repeating, non terminating decimal.

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Answer:

A. It can be expressed as a non repeating, non terminating decimal.

Step-by-step explanation:

An irrational number can be defined as real numbers that cannot be expressed as a simple fraction or ratio of two integers.

Additionally, it is the opposite of a rational number and as such its decimal is continuous without having any repetition or termination. For example, pie (π) = 3.14159 is an example of an irrational number.

Assuming the solution to a mathematical problem is an irrational number. The statement which is true about the solution is that it can be expressed as a non-repeating, and non-terminating decimal.

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Answer: 133^{\circ}

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2 years ago
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