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Mademuasel [1]
3 years ago
11

What is the inverse of the function below?

Mathematics
2 answers:
goldfiish [28.3K]3 years ago
6 0

Answer:

\frac{ln \: x}{ln \: 3}  = {f}^{-1}(x)

Step-by-step explanation:

To find the inverse, interchange the variables and solve for <em>y</em>.

I am joyous to assist you anytime.

oksano4ka [1.4K]3 years ago
4 0

Answer:

Log_{(3)}X

Step-by-step explanation:

f(x)=3^{X}

y=3^{X}

<u><em>exchange the variables </em></u><u><em>x </em></u><u><em>and </em></u><u><em>y </em></u>

<u><em>X=3^{y}</em></u>

<u><em>Log_{(3)}X=Log_{(3)}3^{y}</em></u>

<u><em>Log_{(3)}X=y</em></u>

<u><em>f^{-1}(x)=Log_{(3)}X</em></u>

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The sum of two numbers is 14 and sum of their squares is 100.Find the numbers
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Answer:

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Step-by-step explanation:

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3 years ago
What is the equation of the quadratic graph with a focus of (-4,17/8) and a directrix of y=15/8
Temka [501]
So hmm notice the graph below

based on where the focus point is at, and the directrix, then, the parabola is opening upwards, meaning the squared variable is the "x"

\bf \begin{array}{llll}&#10;(y-{{ k}})^2=4{{ p}}(x-{{ h}}) \\\\&#10;\boxed{(x-{{ h}})^2=4{{ p}}(y-{{ k}})}\\&#10;\end{array}&#10;\qquad &#10;\begin{array}{llll}&#10;vertex\ ({{ h}},{{ k}})\\\\&#10;{{ p}}=\textit{distance from vertex to }\\&#10;\qquad \textit{ focus or directrix}&#10;\end{array}

now, keep in mind, the vertex is at coordinates h,k
the vertex itself is half-way between the focus and directrix
the directrix is at y=15/8 and the focus is at y=17/8
so, half-way will then be \bf \cfrac{17}{8}-\cfrac{15}{8}=\cfrac{2}{8}\iff \cfrac{1}{4}

well, so is 1/4 between the focus point and the directrix, half of that is 1/8
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so, the x-coordinate is obviously -4, get the y-coordinate by 17/8 - 1/8   or 15/8 + 1/8

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4 0
3 years ago
.A bacteria culture grows at a rate of 20%
Zolol [24]

The number of the specimens would be in the culture after 5 minutes will be 7,962.62.

<h3>What is an exponent?</h3>

Consider the function:

y = a (1 + r) ˣ

Where x is the number of times this growth occurs, a = initial amount, and r = fraction by which this growth occurs.

A bacteria culture grows at a rate of 20% per minute.

If the culture initially has 3,200 bacteria specimens.

Then the equation will be

y = 3200 (1 + 0.2) ˣ

y = 3200 (1.20) ˣ

Then the number of the specimens would be in the culture after 5 minutes will be

y = 3200 (1.20)⁵

y = 7962.62

More about the exponent link is given below.

brainly.com/question/5497425

#SPJ1

5 0
2 years ago
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