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Nadya [2.5K]
3 years ago
10

?????????????????????????

Mathematics
1 answer:
Leto [7]3 years ago
8 0

Answer:

\boxed{D. \: (f-g)(x) = {x}^{2} + 4x + 3}

Given:

f(x) =2 {x}^{2}  - 5 \\ g(x) =  {x}^{2}  - 4x - 8

To find:

(f - g)(x) = f(x) - g(x)

Step-by-step explanation:

\implies(f - g)x = f(x) - g(x) \\  \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    = (2 {x}^{2}  - 5) - ( {x}^{2}  - 4x - 8) \\  \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    = (2 {x}^{2}  - 5)  + (-  {x}^{2}  + 4x + 8) \\  \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    = 2 {x}^{2}  - 5 -  {x}^{2}  + 4x + 8 \\  \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    = 2 {x}^{2}  -  {x}^{2}  + 4x - 5 + 8 \\  \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    =  {x}^{2}  + 4x + 8 - 5 \\  \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    =  {x}^{2}  + 4x + 3

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