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3 years ago

8

HI! please help out ASAP this is due today! Explain it the best you can and send a picture explaining it so I won’t get confused

. Thank u!

1 answer:

Arte-miy333 [17]3 years ago

4 0

Answer:

Step-by-step explanation:

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Determine the domain of the function (fog) (x) where f(x) = 3x-1/x-4 and g(x)=x+1/x

Mrac [35]

Answer:

$(-\infty,0)\cup(0, \frac{1}{3})\cup (\frac{1}{3},\infty)$

Step-by-step explanation:

The given functions are $f(x)=\frac{3x-1}{x-4}$ and $g(x)=\frac{x+1}{x}$ .

We now composed the two functions to find:

$(f\circ g)(x)=f(g(x))$

$\implies (f\circ g)(x)=f(\frac{x+1}{x})$

$\implies (f\circ g)(x)=\frac{3(\frac{x+1}{x})+1}{\frac{x+1}{x}-4}$

$\implies (f\circ g)(x)=\frac{4x+3}{1-3x}$

This function is defined if the denominator is not zero.

$1-3x\ne0$

$x\ne\frac{1}{3}$

We write this in interval notation as:

$(-\infty,\frac{1}{3})\cup (\frac{1}{3},\infty)$

We need to be cautious here as x=0 is not in the domain of g(x).

Therefore the domain of $(f\circ g)(x)$ is

$(-\infty,0)\cup(0, \frac{1}{3})\cup (\frac{1}{3},\infty)$

4 0

3 years ago

Triangle MNO is rotated 180 using the origin as the center of rotation .Which sequence of transformations will produce the same

stiks02 [169]

180° rotation about the origin changes the signs of the coordinates.

(x, y) → (-x, -y)

It is a reflection over the y-axis and a reflection over the x-axis (in either order).

<em>You did not provide the options so hopefully you can figure out the answer based on the information I provided.</em>

5 0

3 years ago

Read 2 more answers

-3.6,-5.4,-8.1,-12.15 arithmetic or geometric or neither.

Brums [2.3K]

Answer:

Geometric Sequence

Step-by-step explanation:

1. Check the difference.

The difference between the 1st and 2nd term

$( - 5.4) - ( - 3.6) = - 1.8$

The difference between the 2nd and 3rd term

$( - 8.1) - ( - 5.4) = - 2.7$

The difference is not the same. Therefore, it is not an arithmetic sequence.

2. Check the ratio

The ratio between the 1st and 2nd term

$( - 5.4) \div ( - 3.6) = 1.5$

The ratio between the 2nd and 3rd term

$( - 8.1) \div ( - 5.4) = 1.5$

The ratio is the same. Therefore, it is a geometric sequence.

8 0

3 years ago

Find the surface area of each figure round your answers to the nearest hundredth if necessary

Wewaii [24]

Answer: 410 square km

Step-by-step explanation:

The area of each of the triangles with their base on the 10 km side is $A=\frac{1}{2}(10)(13.4)$ , so their combined area is $(10)(13.4)=134$ .

The area of each of the triangles with their base on the 12 km side is $\frac{1}{2}(12)(13)$ , so their combined area is $(12)(13)=156$ .

The area of the bottom rectangular face is $10(12)=120$ .

So, the total surface area is $120+156+134=\boxed{410 \text{ km}^{2}}$

3 0

2 years ago

I NEED HELL PLZ I don’t get it i need to turn it soon.

Blababa [14]

60% of the class is blonde

7 0

2 years ago

Read 2 more answers