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salantis [7]
3 years ago
8

The perimeter of a square can be expressed by the function f(s) = 4s, where s is the length of the side in inches.

Mathematics
1 answer:
weeeeeb [17]3 years ago
7 0

Answer:

Mathematical domain is all numbers, as all numbers can be multiplied by 4. However, this is not reasonable as negative lengths don't exist, so the reasonable domain would be all positive numbers.

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Given that f(x)= 2x+1 and g(x)= x^2 +2x+1 find (F+g)(2). Find (F.g)(x) find f(x)/g find f(2) +g(-2)?
Pepsi [2]

Answer:

(f+g)(2) = 14

f(g(x)) = 2x^2 + 4x +3

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

f(2) + g(-2) = 6

Step-by-step explanation:

Function composition and transformation combines functions together using operations such as addition, subtraction, multiplication, division and substitution. To find each, perform the operation with the functions f(x) = 2x+1 and g(x) = x^2 + 2x +1.

(f+g)(x) is the functions f and g added together with 2 substituted for x.

(f+g)(x) = 2x+1 + x^2 +2x + 1 = x^2 + 4x + 2\\(f+g)(2) = 2^2 + 4(2) + 2 = 14

(f·g)(x) is function composition that means f(g(x)) or substitute g(x) into f(x).

f(g(x)) = 2(x^2+2x+1)+1 = 2x^2 + 4x+2 + 1\\f(g(x)) = 2x^2 + 4x +3

f(x) / g(x) is division of the two functions. Division can only occur with polynomials if they share the same factors or things which multiply to create them. If none are present, do not simplify.

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

This cannot be simplified.

f(2) + g(-2) means find the function value of f at 2 and the function value of g at -2 then add them together.

f(2)+g(-2) = 2(2)+1 + ((-2)^2+2(-2) + 1)\\f(2) + g(-2) = 5 + (4-4+1)\\f(2) + g(-2) = 5 +1 = 6

7 0
3 years ago
Read 2 more answers
Help me pleaseeee thank you sm
Leno4ka [110]

Answer:

The answer is A) 379.9

Step-by-step explanation:

3.14(11^2)

3.14*11^2

3.14*(11*11)

379.94 if rounded to the nearest tenth it would be 379.9

7 0
3 years ago
Solve the simultaneous equations: <br> 5x + 2y = 17<br> 4x + y = 10
erik [133]

Answer:

(1, 6 )

Step-by-step explanation:

5x + 2y = 17 → (1)

4x + y = 10 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate the y- term

- 8x - 2y = - 20 → (3)

Add (1) and (3) term by term to eliminate y

- 3x + 0 = - 3

- 3x = - 3 ( divide both sides by - 3 )

x = 1

Substitute x = 1 into either of the 2 equations and solve for x

Substituting into (1)

5(1) + 2y = 17

5 + 2y = 17 ( subtract 5 from both sides )

2y = 12 ( divide both sides by 2 )

y = 6

solution is (1, 6 )

8 0
2 years ago
Mr. Hebert is trying to load a square table into his van. He needs to lay the table flat. The
Lelechka [254]

Answer: yes because you can open the door more and the tables isn’t that big

Step-by-step explanation:

3 0
3 years ago
For his long distance phone service, Ahmad pays a $3 monthly fee plus 11 cents per minute. Last month, Ahmad's long distance bil
Alenkinab [10]

Answer:

198 minutes (3 hours and 18 minutes)

Step-by-step explanation:

24.78 - 3 = 21.78

21.78 ÷ 0.11 = 198

Hope this helped!

Stay safe! <3

3 0
3 years ago
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