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3 years ago

8

Good night everyone be back on tomorrow sometime. Giving my mom my phone back so please dont ask me for any help in till tomorro

w don't want anyone blowing up my phone why she and my dad are sleeping.

2 answers:

KiRa [710]3 years ago

4 0

Ok I’m just answering random questions just to get points

Lana71 [14]3 years ago

3 0

Answer:

Step-by-step explanation:

XD um okay. Thanks !

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Need explanation 20 points<br> The function f is such that f(x) = 2x - 6<br> Find f^-1(x)

Dvinal [7]

HEYA! <3

Explanation :

<u>GIVEN </u> :

f(x) = 2x - 6

<u>TO </u><u>FIND</u><u> </u> :

Inverse of f(x) i.e $f ^{ - 1} (x)$

<u>S</u><u>OLUTION </u> :

FOLLOW THESE THREE STEPS :

LET Y = f(x)

$\longrightarrow \tt{y = 2x - 6}$

$\longrightarrow{ \tt{ \: 2x - 6 = y}}$

MAKE X A SINGLE TERM IN LHS SIDE

$\longrightarrow{ \tt{2x = y + 6}}$

$\longrightarrow{ \tt{x = \frac{y + 6}{2} }}$

INTERCHANGE THE VALUE OF X AND Y

$\longrightarrow{ \tt{y = \frac{x + 6}{2} }}$

Hence ,

$\boxed{ \boxed{ {f}^{ - 1} (x) = \sf{ \bold{ \frac{x + 6}{2} }}}}$

Hope I helped!

Have a wonderful day / night !

Feel free to leave comments if you have any queries! :D

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3 years ago