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lorasvet [3.4K]

3 years ago

9

Simplify the answer 1 - 5/6?

1 answer:

ludmilkaskok [199]3 years ago

5 0

The answer is: " $\frac{1}{6}$ " .
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<u>Note</u>:
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" 1 - (5/6) = (6/6) - (5/6) = (6-5)/6 = 1/6 " .
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Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.

charle [14.2K]

ANSWER

See below

EXPLANATION

Given

$f(x) = \frac{ {x}- 9 }{x + 5}$

and

$g(x) = \frac{ - 5x - 9}{x - 1}$

$(f \circ \: g)(x)= \frac{ (\frac{ - 5x - 9}{x - 1})- 9 }{(\frac{ - 5x - 9}{x - 1} )+ 5}$

$(f \circ \: g)(x)= \frac{ \frac{ - 5x - 9 - 9(x - 1)}{x - 1}}{\frac{ - 5x - 9 + 5(x - 1)}{x - 1} }$

Expand:

$(f \circ \: g)(x)= \frac{ \frac{ - 5x - 9 - 9x + 9}{x - 1}}{\frac{ - 5x - 9 + 5x - 5}{x - 1} }$

$(f \circ \: g)(x)= \frac{ \frac{ - 5x - 9x + 9 - 9}{x - 1}}{\frac{ - 5x + 5x - 5 - 9}{x - 1} }$

$(f \circ \: g)(x)= \frac{ \frac{ - 14x }{x - 1}}{\frac{ -14}{x - 1} }$

Since the denominators are the same, they will cancel out,

$(f \circ \: g)(x)= \frac{ - 14x}{ - 14} = x$

8 0

3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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Divide 259 by 7 (259/7)= 37 beads per necklace. If you wanted to check just multiply 7 and 37 (37x7)=259

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nydimaria [60]

Answer:

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Step-by-step explanation:

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pi = 3

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2 years ago

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tino4ka555 [31]

6u + 3u = 18
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3 years ago