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KatRina [158]
3 years ago
12

Please Help! Are F(x) and G(x) inverse functions across the domain [3,+∞)?

Mathematics
1 answer:
allochka39001 [22]3 years ago
5 0

Answer:

A

Explanation:

For functions to be inverse, it must be true that f( g(x) ) = x and g( f(x) ) = x.

But for F( G(x) ), we have √( G(x) - 3 ) + 8

= √( (x+8)² - 3 - 3 ) + 8

= √( (x+8)² - 6 ) + 8

This -6 part should be cancelled out for functions to work out but we cannot do that, therefore F(x) and G(x) are not inverse.

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Two angles are supplementary. The larger angle is 15 more than 10 times the smaller angle. FInd the measure of each angle.
garik1379 [7]

\text{Larger angle} =x\\\\\text{Smaller angle} =y\\ \\\text{According to the condition,}\\\\x=10y+15\\\\\text{The two angles are supplementary, so their  sum is}~ 180^{\circ} \\\\x+y=180\\\\\implies 10y+15 +y = 180\\\\\implies 11y = 180-15\\\\\implies 11y=165\\\\\implies y = \dfrac{165}{11}\\\\\implies y = 15\\\\\text{So,} ~x  =180-15 = 165\\\\\text{Hence the larger angle is}~ 165^{\circ}~ \text{and the smaller angle is }15^{\circ}

7 0
2 years ago
Rebecca needs 10 1/2 yards of fabric to make a quilt. She has one piece of fabric that is 2 1/2 yards and another piece of fabri
nikdorinn [45]

Answer: 3 3/4 yards. I think.

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3 years ago
Scaler factor of 1/2
olasank [31]

Dilation by a scale factor of 1/2 followed by a translation of 1.5 units down.

<h3>What is dilation?</h3>

Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller.

Here, △ HIJ are:

IH = 3

IJ = 4

then using the scale factor = 1/2 we get

Therefore, we have:

I'H '= 1.5

I'J '= 2

Hence, dilation by a scale factor of 1/2 followed by a translation of 1.5 units down.

Learn more about this concept here:

brainly.com/question/1011146

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1 year ago
8. Show work<br> here for<br> 5(3d+5e+3)
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Answer:

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Step-by-step explanation:

Distribute

4 0
3 years ago
What are the following numbers from least to greatest 14/5, -2.46, -10/4, 2.5
Vera_Pavlovna [14]

Answer:

-2.46, -10/4, 14/5, 2.5.

Step-by-step explanation:


8 0
3 years ago
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