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garri49 [273]
3 years ago
13

F(x)=9(x-8) find f^-1(x)

Mathematics
1 answer:
mina [271]3 years ago
8 0

Answer:

f^{-1}(x) = \frac{1}{9} x + 8

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 9(x - 8) ← divide both sides by 9

\frac{y}{9} = x - 8 ( add 8 to both sides )

\frac{y}{9} + 8 = x

Change y back into terms of x with x = f^{-1}(x) , thus

f^{-1}(x) = \frac{1}{9} x + 8

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How to do the equation for the sum of three consecutive integers is 467
Dvinal [7]
Call n, the first of those consecutive terms, then three consecutive terms are:n, n +1, and n +2.

So, the equation will be n + (n +1) + (n +2) = 467

=> n + n + 1 + n + 2 = 467

=> 3n + 3 = 467

All of them are valid forms of the equation for the sum of three consecutive integers is 467.

You can solve it now, if you want:

3n = 467 - 3

3n = 464

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The solution means that there are not three consecutive numbers whose sume is 467.

You can verifiy that if you take 154 + 155 + 156 = 465

And 155 + 156 + 157 = 468
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