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Lina20 [59]
3 years ago
6

PLSSSSSS I NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
Ivahew [28]3 years ago
3 0

Answer:

5.5 I use a calculator and I also checked my work

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\implies f^{-1}(x) =-\dfrac{x}{4}-3

Step-by-step explanation:

<u>Given </u><u>:</u><u>-</u><u> </u>

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And we need to find out the Inverse of the function . Let us assume that f(x) = y . Now , firstly replace x with y and vice versa.

<u>Function</u><u> </u><u>:</u><u>-</u><u> </u>

\implies f(x) = -4x - 12 \\\\\implies y = -4x-12

<u>Interchanging</u><u> </u><u>x </u><u>and </u><u>y </u><u>:</u><u>-</u><u> </u>

\implies x = -4y - 12

<u>Solve </u><u>out</u><u> </u><u>for </u><u>y </u><u>:</u><u>-</u><u> </u>

\implies x = -4y - 12 \\\\\implies -4y = x +12 \\\\\implies y =\dfrac{x+12}{-4}\\\\\implies y =-\dfrac{x}{4}-3

<u>Replace</u><u> </u><u>y with</u><u> </u><u>f-¹</u><u>(</u><u>x)</u><u> </u><u>:</u><u>-</u><u> </u>

\implies f^{-1}(x) =-\dfrac{x}{4}-3

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Move values to the lines to complete each equation. <br> |8| =<br> |-8| =<br> -|8| =<br> -|-8| =
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I think this is what you meant not sure tho

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|8| = correct as it is

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