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liubo4ka [24]
3 years ago
7

F(x) = 2/x, g(x) = |x| -1 What is the domain of (fog) (x)? will mark brainliest

Mathematics
1 answer:
brilliants [131]3 years ago
3 0

Answer:

x≠-1,1

Step-by-step explanation:

f(g(x)) is a composition where g(x) is is substituted for x in f(x).

Recall, f(x) is 2/x. So we write 2/|x|-1. This places x in the denominator and 0 cannot be in the denominator x. Any value of x that makes the denominator 0 will not be in the domain.

|x|-1=0

|x|=1

x=1,-1

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ory has designed a special table with a circular cutout in the center to be filled with glass. The radius of the cutout is 7 inc
irakobra [83]

Based on the area of the tabletop with the inner circle, the area after the inner circle has been cut out is 12,309 inch².

<h3>How do we find the new area of the tabletop?</h3>

We are told that the area of the tabletop is 12,463 inch².

We then need to find the area of the circlular cutout as:

= π x radius x radius

= 3.14 x 7 x 7

= 154 inch²

The new area after the cutout is removed is therefore:

= Current area - area of circular cutout

= 12,463 - 154

= 12,309 inch ²

Rest of the question:

Area of table including the cutout is 12,463 square inches.

Find out more on area at brainly.com/question/13183446.

#SPJ1

3 0
2 years ago
Help meee pleaseeee i need it
Crank

Answer:

wit what

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Hannah can paint a room in 8 hours. Destiny can paint the same room in 6 hours. How long does it take for both Hannah and Destin
Ksivusya [100]

Answer:

3 hours 26 minutes

Step-by-step explanation:

1/8 + 1/6 = 1/t  where t is the required time in hours.

Multiply through by 24t:-

3t + 4t = 24

7t = 24

t = 3 3/7 hours

or  3 hours 26 minutes to the nearest minute.

6 0
3 years ago
I need to determine each angles measure. M 4<br><br> M 6
Ulleksa [173]
By geometrical inspection we have:
 M4 = 30
 Then the angle M6 can be determined from the fact that you have a rectangle triangle (345) that has an angle of 90 and another of 30. The missing angle measures:
 180-90-30 = 60 = M3
 Then to find M6 we have
 M3 + 60 + M6 = 180
 M6 = 180-60-M3
 M6 = 180-60-60
 M6 = 60
 answer:
 M4 = 30
 M6 = 60
7 0
3 years ago
Everett is rolling a block with the numbers 1, 2, 3, 4, 5, and 6 on it. Finley is drawing one disk from a basket of three disks:
ioda

Option A:

The probability that Everett and Finley end up with an even number and a blue disk is \frac{1}{6}.

Solution:

Given data:

Everett is rolling a block with numbers = {1, 2, 3, 4, 5, 6}

Finley is drawing one disk from basket with colors = {blue, red, yellow}

Total number of numbers = 6

Total number of colors = 3

$\text { Probability }=\frac{\text {Number of possible outcomes}}{\text {Total number of outcomes}}

$P\text{(Even number)} =\frac{3}{6}$

$P\text{(Blue disk)} =\frac{1}{3}$

$P\text{(Even number and Blue disk)} =\frac{3}{6}\times\frac{1}{3}$

                                                  $=\frac{3}{18}

Divide numerator and denominator by the common factor 3.

                                                  $=\frac{3\div3}{18\div3}

                                                  $=\frac{1}{6}

Option A is the correct answer.

Hence the probability that Everett and Finley end up with an even number and a blue disk is \frac{1}{6}.

3 0
3 years ago
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