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loris [4]
2 years ago
10

Given f(x) = 4x + 2, find f-1(3).

Mathematics
1 answer:
Alexxandr [17]2 years ago
4 0

Answer:

  1/4

Step-by-step explanation:

The inverse function tells you the input value that corresponds to the given output value of the function.

<h3>Application</h3>

You want f^-1(3), which is the value of x such that f(x) = 3.

  f(x) = 3 = 4x +2

  1 = 4x . . . . . . subtract 2

  1/4 = x . . . . . divide by 4

The inverse function of 3 is 1/4:

  \boxed{f^{-1}(3)=\dfrac{1}{4}}

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Step-by-step explanation:

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3 years ago
18c) Find the value of x in each case.
iVinArrow [24]

Answer:

x = 22.5°

Step-by-step explanation:

m∠DEA = 2x

DE || AB

m∠EAB = 2x  - by Alternate Interior Angles

Exterior angle = 6x, which equals 2x + 4x

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m∠B = 2x

2x + 4x + 2x = 180°

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<h2>Exterior Angles of a Triangle:</h2>

An exterior angle of a triangle is equal to the two REMOTE angles inside the triangle.

In this example, we know that 6x has remote angles of ∠EAB and ∠BEA

We found out that m∠EAB = 2x, so m∠BEA must equal 6x - 2x or 4x

<h2>Sum of angles in a Triangle:</h2>

The sum of all angles in a triangle is equal to 180°.

In this example, we found all the angles, 2x, 4x, 2x. We added all of those values to equal 8x

Since the sum of all angles = 180°:

8x = 180°

x = 180°/8

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-Chetan K

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2 years ago
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The per capita consumption of red meat by people in a country in a recent year was normally​ distributed, with a mean of 107107
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Answer:

mean sample is 9.26

Step-by-step explanation:

Given data

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no of sample (n) = 18

to find out

sample means

solution

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now put all value n and standard deviation and we get sample mean i.e.

mean sample = standard deviation / \sqrt{n}

mean sample =  39.3 / \sqrt{18}

mean sample = 9.26

6 0
3 years ago
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