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4 years ago

6

Solve for x: −2(x 3) = −2(x 1) − 4. 2 3 all real numbers no solution

2 answers:

Ronch [10]4 years ago

7 0

Answer:

No solution...

Crank4 years ago

4 0

-2(x + 3) = -2(x + 1)
-2x - 6 = -2x - 2
-2x + 2x = -2 + 6
0 = 4

Therefore, the system has no solution.

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ahrayia [7]

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2 years ago

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

Dvinal [7]

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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 ,

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

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