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bija089 [108]
3 years ago
7

For the functions f left parenthesis x right parenthesis equals 6 minus x squared and g left parenthesis x right parenthesis equ

als x squared plus 4 x minus 12​, find fplus​g, fminus​g, ​fg, and StartFraction f Over g EndFraction . Determine the domain for each function.
Mathematics
1 answer:
Ksju [112]3 years ago
8 0

Answer:

Step-by-step explanation:

Given the functions

F(x) = 6-x²

G(x) = x²+4x-12

A) we are to find F(x)+g(x)

F(x)+G(x) = 6-x²+x²+4x-12

F(x)+G(x) = 6+0+4x-12

F(x)+G(x) = 4x+6-12

F(x)+G(x) = 4x-6

The domain of the function is the values of x for which the expression exists. The expression exists on all real interval i.e xER

F(x)-g(x) = 6-x²-(x²+4x-12)

F(x)-g(x) = 6-x²-x²-4x+12

F(x)-g(x) = 6-2x²+4x+12

F(x)-g(x) = -2x²+4x+6

The domain of the function is the values of x for which the expression exists. The expression exists on all real interval i.e xER

3) F(x)/G(x)

= 6-x²/x²+4x-12

The domain of the function is the values of x for which the expression exists. The expression exists on all real interval i.e xER

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Hey guys can you answer this one question real quick
Umnica [9.8K]

Answer:

a. 1/5

b. (3, 3/5)

c. 1/5x = y

Step-by-step explanation:

Remember: (x, y)

0.5 = 1/2

(1/2, 1/10) = 1/10 ÷ 1/2 = 1/10 • 2 = 1/5, you can divide y/x = constant of proportionality. 1/10 ÷ 1/2.

1 2/5 = 7/5

(7, 7/5) = 7/5 ÷ 7 = 7/5 • 1/7 = 1/5, y/x = constant of proportionality. 7/5 ÷ 7.

  • a. 1/5 is the constant of proportionality
  • b. (3, 3/5) because 3/5 ÷ 3 or 3/5 • 1/3 = 1/5.
  • c. 1/5x = y

6 0
3 years ago
At Pizza pizzazz the cost of a square pizza depends on the total square inches. A small
GaryK [48]

Answer:

The difference in price between a small pizza and a medium pizza is $0.81

Step-by-step explanation:

Small pizza

Side = 5inch

Area =  25 sq.in

Cost = $4 +0.04*25

        = 4 + 1.25  = $5.25

Medium pizza

Side = 8inche

Area = 64 sq.in

Cost = 3.50 + 0.04*64 = $6.06

Difference = Medium pizza - small pizza

                  = 6.06 - 5.25

                   = $0.81

4 0
3 years ago
After the fine arts booster club's soup supper, there were 120 pieces of pie left over. The leftover pie was distributed equally
Ne4ueva [31]

Answer: Your answer is 12

Step-by-step explanation:

120/(6+4)=X

120/10=X

120/10=12

12=X

8 0
3 years ago
A scientist begins an experiment with a culture of 5 bacteria cells. Every hour, the number of bacteria cells triples. Which equ
Ann [662]

Answer:

y= 3(5)x

Step-by-step explanation:

5 0
3 years ago
Could someone help and explain their answer? (NO LINKS!)<br> Thanks!
Nonamiya [84]

Answer:

5

Step-by-step explanation:

To find the prime factorization of a number, start by dividing the number by each prime number that you can divide by as many times as possible, starting with the smallest prime number and moving up. Then move on to the next prime number. The last division must give a quotient of 1. Then the prime factorization is the product of all the prime factors you divided the number by.

Here's how you use this method with 180.

Here are the first 10 prime numbers:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29

Start by trying to divide by 2. 180 is divisible by 2.

180/2 = 90       90 is divisible by 2.

90/2 = 45         45 is not divisible by 2, so now try 3.

45/3 = 15          15 is divisible by 3.

15/3 = 5            5 is prime, so it is divisible by 5.

5/5 = 1              The divisors in bold are the prime factors of 180.

180 = 2 × 2 × 3 × 3 × 5

180 = 2² × 3² × 5

Answer: 5

3 0
2 years ago
Read 2 more answers
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