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valkas [14]
2 years ago
14

Find f(g(x)) and g(f(x)). f(x)=x²-2 and g(x)=√x+1

Mathematics
1 answer:
Archy [21]2 years ago
6 0

Answer:

1. x - 1

2. \sqrt{x^2-1}

Step-by-step explanation:

f(g(x)) = \sqrt{x+1}^2 - 2\\ = x + 1 - 2\\= x - 1

g(f(x)) =\sqrt{x^2-2+1}\\ = \sqrt{x^2-1}

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S=_ft ?? Please also tell me how to do it
irina1246 [14]

Answer:

70ft^2

Step-by-step explanation:

Surface area is the sum of all sides of the area. Since it is a rectangular prism, each surface area will be multiplied by two to account for the opposite side (ex. top and bottom are the same area).

The front/back area is 1*11 or 11. So the sum of the areas is 22.

The right/left area is 2*1 or 2. So the sum of the areas is 4.

The top/bottom area is 2*11 or 22. So the sum of the areas if 44.

We add these together to find the surface area.

22+4+44=70

The surface area is 70ft^2

7 0
3 years ago
Cathleen ran a total of 16 miles. She ran exactly 2 2/3 miles each day. How many days did it take her to run 16 miles
kirill [66]
It took her 6 days. 2 and 2/3 times 6 equals 16
6 0
3 years ago
Part 2. Laws of sines. Please show work​. Round answer to the nearest tenth.
Bingel [31]

Answer:

5) 30.0m

6) 34.0mi

7) 11.0ft

8) 17.0 km

(all rounded off to the nearest tenth)

Step-by-step explanation:

Please see attached pictures for the full solution.

6 0
3 years ago
? is in the picture plsss answer
balandron [24]

Answer:

You have a triangle and a Square!

Step-by-step explanation:

Blue = Square

Red = triangle

3 0
3 years ago
Carrie started work at 8 a.m. and left at 1:30 p.m. How many hours of work should she record on her time card for the day?
vagabundo [1.1K]
Start:  8 a. m.
Finish:  1 : 30 p.m. = 13 hours 30 minutes
13 h 30 min - 8 h = 5 h 30 min
She should record 5 hours and 30 minutes on her time card for the day.
5 0
4 years ago
Read 2 more answers
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