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timurjin [86]
2 years ago
10

G(×)=(3×+12)/4 Find g^-1(×) g^-1(6)

Mathematics
1 answer:
fiasKO [112]2 years ago
5 0

Answer:

fog)(x)=f(g(x))=2(3x+2)−1=6x+4−1=6x+3=3(2x+1)

f

(

x

)

=

3

−

2

x

,

g

(

x

)

=

3

x

2

+

2

Set up the composite result function.

g

(

f

(

x

)

)

Evaluate

g

(

f

(

x

)

)

by substituting in the value of

f

into

g

.

g

(

3

−

2

x

)

=

3

(

3

−

2

x

)

2

+

2

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Graph a triangle (LMN) and rotate it 180° around the origin to create triangle L′M′N′.
andreev551 [17]

When a triangle is rotated, it must be rotated through a center of rotation.

Assume the coordinate of LMN is

\mathbf{L = (1,1)}

\mathbf{M = (1,7)}

\mathbf{N = (3,6)}

The rule of 180-degree rotation is:

\mathbf{(x,y) \to (-x,-y)}

So, we have:

\mathbf{L' = (-1,-1)}

\mathbf{M' = (-1,-7)}

\mathbf{N' = (-3,-6)}

See attachment for the graphs of LMN and L'M'N

<u>(a) Describe the transformation</u>

When triangle LMN is rotated 180 degrees across the origin, the x and y coordinates of LMN are negated to form triangle L'M'N'

<u>(b) Lines LL' and MM'</u>

The distance between point L and the center of origin is the same as the distance between point M' and the center of origin

Similarly, the distance between point L and the center of origin is the same as the distance between point M' and the center of origin

<u>(c) Line NN'</u>

Line NN' will assume the same characteristics as lines LL' and MM'

Read more about transformations at:

brainly.com/question/11707700

7 0
2 years ago
WILL GIVE BRAINLIEST!!!!!
devlian [24]
The answer is b for both questions
4 0
3 years ago
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Elden [556K]

Answer:

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Step-by-step explanation:

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Answer:

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