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PilotLPTM [1.2K]
3 years ago
6

For f left parenthesis x right parenthesis equals StartRoot x EndRoot and g left parenthesis x right parenthesis equals 4 x plus

9 comma find the following composite functions and state the domain of each. ​(a) fcircleg ​ (b) gcirclef ​ (c) fcirclef ​ (d) gcircleg
Mathematics
1 answer:
lara31 [8.8K]3 years ago
4 0

Answer:

Step-by-step explanation:

Given that there are two functions f and g as

f(x) = \sqrt{x} \\g(x) =4x+9

We have to find the composition of functions.

Composition functions are calculated as the first function inside bracket and then the outside function of answer inside.

a)fog= f{g(x)} =f(4x+9) = \sqrt{4x+9}

b) gof = g{f(x)} = g(\sqrt{x} )=4\sqrt{x} +9

c) fof = f(\sqrt{x} ) = \sqrt[4]{x}

d) gog = g(4x+9) = 4(4x+9)+9\\= 16x+45

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To purchase $12,900 worth of machinery for her business, Melissa made a down payment of $2100 and took out a business loan for t
Ierofanga [76]

Answer:

a) $13588.08

b) $688.08

Step-by-step explanation:

Melissa had to purchase $12,900 worth of machinery for her business.

She made a down payment of $2100 and after that made monthly payments of $478.67 for the business loan for the rest.

Given that after years of paying monthly payments of $478.67, she finally paid off the loan.

Assume that she took 2 years to repay the loan.

a) Therefore, the total amount Melissa ended up paying for the machinery was $[2100 + (478.67 × 24)] = $13588.08 (Answer)

b) Therefore, the amount of interest that Melissa pay on the loan is $(13588.08 - 12900) =$688.08. (Answer)

4 0
3 years ago
The rectangular prism shown has a surface area of 488 square inches. What is the length of the prism?
BigorU [14]

Answer:

length of the prism = 244 - (width x height) / width + height)

Step-by-step explanation:

Let length be a and width be b and height be c

2 (a * b) + 2 (b* c) + 2 (a * c) = 488

2ab+ 2bc + 2ac = 488

ab + bc + ac = 244

ab + ac = 244 - ac

a (b + c) = 244-ac

a = 244-bc / b + c

Therefore the length of the prism = 244 - (width x height) / width + height)

8 0
3 years ago
•°|NO LINKS PLEASE, REAL ANSWERS ONLY!|°•
barxatty [35]

Answer:

V=75 in 3 9 in. 17 in. There are 1 more cubic inches of sand in the pyramid with the greater volume.

Step-by-step explanation:

8 0
3 years ago
1/4+3/8+1/2+5/8+7/8
Ket [755]

Answer: 1/4+3/8+1/2+5/8+7/8

= 21/8

Hope this helps :)))

4 0
3 years ago
Read 2 more answers
What is the standard form of -5a(7) + 4a(2)
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-5a(7) + 4a(2) \\ \\ -35a + 4a \times 2 \\ \\ -35a + 8a \\ \\ -27a \\ \\ Answer: \fbox {-27a}
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3 years ago
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