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brilliants [131]
4 years ago
11

Given the functions, f ( x ) = x2 + x - 5 and g ( x ) = 4 x2 - 2 x + 1, perform the indicated operation. When applicable, state

the domain restriction. ( f - g )( x )
Mathematics
1 answer:
elixir [45]4 years ago
7 0

Answer:

(f-g)(x)  =  - 3 x² + 3 x -6

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given function f(x) = x² + x - 5

                      g(x) = 4 x² - 2 x + 1

(f-g)(x)   =  f(x) - g(x)

            =  x² + x - 5 - (4 x² - 2 x + 1)

            = x² - 4 x² + x + 2 x - 5 -1

            =  - 3 x² + 3 x -6

(f-g)(x)  =  - 3 x² + 3 x -6

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Step-by-step explanation:

For checking which of the equation satisfies the complete square condition, we proceed by checking each of the available options

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This equation can be rearranged as 5x²+3x-9=0

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