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masha68 [24]
3 years ago
10

Given the function f(x) = log3 (x + 1), determine f^−1(2).

Mathematics
1 answer:
zavuch27 [327]3 years ago
6 0
Given:  <span>f(x) = log3 (x + 1), look for f^-1 (2)

We are looking for the inverse of a function. The inverse of the function can be obtained by switching the variables and obtaining the values of the new function, before substituting f(2). Using a calculator:

</span><span>f^-1 (2) = 8</span>
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Mikoto graphed (shown below) the relationship between the temperature (in °C) and her cat's change in
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8 0
3 years ago
Read 2 more answers
What is the length of line segment KJ?
Karolina [17]

Please consider the attached file.

We can see that triangle JKM is a right triangle, with right angle at M. Segment KM is 6 units and segment MJ is 3 units. We can also see that KJ is hypotenuse of right triangle.

We will use Pythagoras theorem to solve for KJ as:

KJ^2=KM^2+MJ^2

KJ^2=6^2+3^2

KJ^2=36+9

KJ^2=45

Now we will take positive square root on both sides:

\sqrt{KJ^2}=\sqrt{45}

KJ=\sqrt{9\cdot 5}

KJ=3\sqrt{5}

Therefore, the length of line segment KJ is 3\sqrt{5} and option D is the correct choice.

5 0
3 years ago
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7 0
3 years ago
Find the midpoint of the line segment whose endpoints are (2.6,5.1) and (3,4.7).
svp [43]

Answer:

Mid point is: (2.8;4.9)

Step-by-step explanation:

To find midpoint of a line segment we can use the general equation:

Mid=\frac{x_1+x_2}{2} ;\frac{y_1+y_2}{2}

Where the point of the line are: (x₁;y₁) and (x₂;y₂).

In the problem, x₁ = 2.6, y₁ = 5.1 and x₂ = 3 and y₂ = 4.7. Replacing in the equation:

Mid=\frac{2.6+3}{2} ;\frac{5.1+4.7}{2}

<h3>Mid point is: (2.8;4.9)</h3>

7 0
3 years ago
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