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Bogdan [553]
3 years ago
13

Enter your answer and show all the steps that you use to solve this problem in the space provided.

Mathematics
1 answer:
shutvik [7]3 years ago
6 0

Answer:

Step-by-step explanation:

we are given

(A)

(f×g)(x)=f(x)*g(x)

now, we can plug it

we can simplify it

(B)

Domain:

Firstly, we will find domain  of f(x) , g(x) and (fxg)(x)

and then we can find common domain

Domain of f(x):

we know that f(x) is undefined at x=0

so, domain will be

∪

Domain of g(x):

Since, it is polynomial

so, it is defined for all real values of x

now, we can find common domain

so, domain will be

∪..............Answer

Range:

Firstly, we will find range of f(x) , g(x) and (fxg)(x)

and then we can find common range

Range of f(x):

we know that range is all possible values of y for which x is defined

since, horizontal asymptote will be at y=0

so, range is

∪

Range of g(x):

Since, it is quadratic equation

so, its range will be

now, we can find common range

so, range will be

∪.............Answer

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For this case we have the following function:
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 Answer:
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Type the correct answer in each box. Use numerals instead of words.
N76 [4]

The simplification of the polynomial expression will give 3x² - 20x + 8.

<h3>How to illustrate the polynomial?</h3>

The polynomial expression is given as:

(5x² + 13x4) (17x² + 7x - 19) + (5x-7)(3x + 1)

= 5x² + 13x - 4 - 17x² - 7x + 19 + 15x² + 5x - 21x - 7

Then collect like terms

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= 3x² - 20x + 8.

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