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Artist 52 [7]
3 years ago
9

Solve the following compound inequality.

Mathematics
1 answer:
erastovalidia [21]3 years ago
8 0

Answer:

a

Step-by-step explanation:

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Let f(x)=x-2 and g(x)=x²-3 x+2 . Perform each function operation and then find the domain. -2 g(x)+f(x)
Ilya [14]

The outcome of -2 g(x) + f(x) is 4 x -2  x ² and the domain is  [ 0 , 2 ] .

Given,

f (x) = x - 2 and g (x) = x² - 3 x + 2

The question states to find the summation of the function f, that is, f (x) = x - 2, and function g, that is, g (x) =  x² - 3 x + 2

Performing the addition operation on these functions is just like simple addition.

This means that when we add the two functions f (x) and g (x), we get

f (x) + g (x) = x - 2 + x² - 3 x + 2

=> f (x) + g (x) = x ² - 2 x

This implies that the summation or addition of the two functions f (x) and g (x) gives x ² - 2 x

needed result = -2 g(x) + f(x) = -2 ( x² - 2 x ) = -2  x ² + 4x = 4 x -2  x ²

To find domain,

y = 4 x -2  x²

=> 4x -2 x²  ≥   0

=> 2 x * ( 2 - x )  ≥   0

=> 2 x ≥ 0 and 2 - x  ≥   0

=>x  ≤ 2 and  x ≥   0

=> the final Domain = [ 0 , 2 ]

Therefore, we get the result of -2 g(x) + f(x) as 4x -2  x ² and the domain as  [ 0 , 2 ] .

Learn more about Functions here:

brainly.com/question/12431044

#SPJ9

8 0
10 months ago
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