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3 years ago

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 y.

I am joyous to assist you anytime.

oksano4ka [1.4K]3 years ago

4 0

Answer:

$Log_{(3)}X$

Step-by-step explanation:

$f(x)=3^{X}$

$y=3^{X}$

exchange the variables x and y

$X=3^{y}$

$Log_{(3)}X=Log_{(3)}3^{y}$

$Log_{(3)}X=y$

$f^{-1}(x)=Log_{(3)}X$

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What is the order of this from least to greatest. 4.37, 5.844, 5 21/25,117/20

vesna_86 [32]

21/25, 4.37, 5, 5.844, 117/20

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3 years ago

Please help! will give brainliest !!

Veseljchak [2.6K]

Answer:

1, 2, 8, 128, 32768

Step-by-step explanation:

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Thus the first five terms are: 1, 2, 8, 128, 32768.

5 0

3 years ago

There are 30 students in a classroom. The ratio of boys to girls is 2:3.

Arisa [49]

<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ Split 30 into the ratio 2 : 3

12 : 18

12 / 18 + x = 1/5

Cross multiply:

12(5) = 1(18 + x)

60 = 18 + x

Subtract 18 from both sides:

x = 42

42 girls entered the classroom

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

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3 years ago

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Answer:

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Step-by-step explanation : )

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3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%5Cint%7B%5Bsin%289x%29cos%289x%29%5D%7D%20%5C%2C%20dx" id="TexFormula1" title="\int{[sin(9x)c

Sladkaya [172]

Recall the double angle identity,

sin(2x) = 2 sin(x) cos(x)

Then we can write

sin(9x) cos(9x) = 1/2 sin(2 • 9x) = 1/2 sin(18x)

Then

∫ sin(9x) cos(9x) dx

= 1/2 ∫ sin(18x) dx

= -1/2 • 1/18 cos(18x) + C

= -1/36 cos(18x) + C

though you could continue with another double angle identity,

cos(2x) = cos²(x) - sin²(x)

to rewrite the antiderivative as

= -1/36 (cos²(9x) - sin²(9x)) + C

= 1/36 (sin²(9x) - cos²(9x)) + C

5 0

2 years ago