3 years ago

17 subtracted from x is at least 19

Mathematics

1 answer:

Alex Ar [27]3 years ago

4 0

$x-17 \leq 19$

$x \leq 36$

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If f(x) = -3x - 5 and g(x) = 4x - 2, find (f+ g)(x).

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Step-by-step explanation:

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1 year ago

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,

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

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2 years ago

A swimming pool has a perimeter of 80 feet the short side measures 16 feet what is the length of the longer sides of the pool

svlad2 [7]

2 x (L + W) = Perimeter

2(L + 16) = 80 Then divide both sides by 2

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L = 24 feet

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Step-by-step explanation:

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What is 41/44 times 12/29

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