3 years ago

Question 2 ciencjejcjebxjd

Mathematics

1 answer:

Lelechka [254]3 years ago

4 0

Answer:

x6 7 8 9 8 y 77899

Step-by-step explanation:

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multiply both sides by 2

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choice A

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Which equation is the inverse of f(x)=LaTeX: \frac{1}{x+2}1 x + 2 A. LaTeX: f^{-1}\left(x\right)=\frac{1}{x}+2f − 1 ( x ) = 1 x

inna [77]

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$g^{-1}x = \frac{1-2x}{x}$

Step-by-step explanation:

Given the function $g(x)= \frac{1}{x+2}$ , we are to find the inverse of the function and this can be done y following the simple steps:

Step 1: Replace y with $g(x)$

$g(x)= \frac{1}{x+2}\\y= \frac{1}{x+2}$

Step 2: Interchange x with y

$x= \frac{1}{y+2}$

Step 3: Make y the subject of the formula;

$x= \frac{1}{y+2}\\y+2 = \frac{1}{x}\\y = \frac{1}{x} - 2\\Find \ the\ LCM\\y = \frac{1-2x}{x}$

Step 4: Replace y as $g^{-1}(x)$

$g^{-1}x = \frac{1-2x}{x}$

Hence the inverse of the function is $g^{-1}x = \frac{1-2x}{x}$

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