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3 years ago

Escreva os numeros racionais na forma de fração: +6,8,-0,375,-0,02 e 0,07

Mathematics

2 answers:

Mars2501 [29]3 years ago

5 0

Can you translate into English please :)

sergij07 [2.7K]3 years ago

5 0

From what I can understand, it says to write the rational numbers in the form of fractions.
+6=6/10
8=8/10
or +6,8= 6 4/5
-0,375=-375/1000
-0,02=-2/100
0,07=7/100

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Answer:

C. $f(x)=\frac{x+1}{x-1}$

Step-by-step explanation:

Let's find the inverse of each of the given options.

Option A:

$f(x)=\frac{x+6}{x-6}\\y=\frac{x+6}{x-6}$

To find $f^{-1}(x)$ , replace 'x' with 'y' and 'y' with 'x'. This gives,

$x=\frac{y+6}{y-6}$

Rewrite in terms of 'y'. This gives,

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So, option A is incorrect.

Option B:

$f(x)=\frac{x+2}{x-2}\\y=\frac{x+2}{x-2}$

To find $f^{-1}(x)$ , replace 'x' with 'y' and 'y' with 'x'. This gives,

$x=\frac{y+2}{y-2}$

Rewrite in terms of 'y'. This gives,

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So, option B is incorrect.

Option C:

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To find $f^{-1}(x)$ , replace 'x' with 'y' and 'y' with 'x'. This gives,

$x=\frac{y+1}{y-1}$

Rewrite in terms of 'y'. This gives,

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The given function $y=\frac{x+1}{x-1}\ equals\ y=\frac{x+1}{x-1}$

So, option C is correct.

Option D:

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To find $f^{-1}(x)$ , replace 'x' with 'y' and 'y' with 'x'. This gives,

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So, option D is incorrect.

Therefore, only option C is correct.

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