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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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Please help! will give brainliest !!
Veseljchak [2.6K]

Answer:

1, 2, 8, 128, 32768

Step-by-step explanation:

recursive \: formula: \\  a _{n} = 2. {( a_{n - 1} )}^{2}  \\  \\ a _{1} = 1...(given) \\  \\ a _{2} = 2. {( a_{2 - 1} )}^{2}   = 2 {(a _{1} )}^{2}  = 2 {(1)}^{2}  \\  \\  a _{2} = 2\\  \\a _{3} = 2. {( a_{3 - 1} )}^{2}   = 2 {(a _{2} )}^{2}  = 2 {(2)}^{2}  \\  \\  a _{3} = 8\\  \\a _{4} = 2. {( a_{4 - 1} )}^{2}   = 2 {(a _{3} )}^{2}  = 2 {(8)}^{2}  \\  \\  a _{4} = 128\\  \\a _{5} = 2. {( a_{5 - 1} )}^{2}   = 2 {(a _{4} )}^{2}  = 2 {(128)}^{2}  \\  \\  a _{5} = 32,768\\  \\

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

➷ Split 30 into the ratio 2 : 3

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12 / 18 + x = 1/5

Cross multiply:

12(5) = 1(18 + x)

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Subtract 18 from both sides:

x = 42

42 girls entered the classroom

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➶ Hope This Helps You!

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<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
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Recall the double angle identity,

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Then

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though you could continue with another double angle identity,

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= -1/36 (cos²(9x) - sin²(9x)) + C

= 1/36 (sin²(9x) - cos²(9x)) + C

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