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๐‘“(๐‘ฅ)=2๐‘ฅ2+6๐‘ฅโˆ’4f(x)=2x 2 +6xโˆ’4๐‘”(๐‘ฅ)=5๐‘ฅ3โˆ’6๐‘ฅ2โˆ’3g(x)=5x 3 โˆ’6x 2 โˆ’3Find (๐‘“+๐‘”)(๐‘ฅ)(f+g)(x).A.(๐‘“+๐‘”)(๐‘ฅ)=5๐‘ฅ3โˆ’4๐‘ฅ2+6๐‘ฅโˆ’7(f+g)(x)=5x 3 โˆ’4x 2 +6xโˆ’7B.(๐‘“+๐‘”)(๐‘ฅ)=5๐‘ฅ3+2๐‘ฅ2โˆ’7(f+g)(x)=5x 3 +2x 2 โˆ’7C.(๐‘“+๐‘”)(๐‘ฅ)=โˆ’5๐‘ฅ3+8๐‘ฅ2+6๐‘ฅโˆ’1(f+g)(x)=โˆ’5x 3 +8x 2 +6xโˆ’1D.(๐‘“+๐‘”)(๐‘ฅ)=7๐‘ฅ3โˆ’7(f+g)(x)=7x 3 โˆ’7SUBMITarrow_backPREVIOUS

Question

๐‘“(๐‘ฅ)=2๐‘ฅ2+6๐‘ฅโˆ’4f(x)=2x 2 +6xโˆ’4๐‘”(๐‘ฅ)=5๐‘ฅ3โˆ’6๐‘ฅ2โˆ’3g(x)=5x 3 โˆ’6x 2 โˆ’3Find (๐‘“+๐‘”)(๐‘ฅ)(f+g)(x).A.(๐‘“+๐‘”)(๐‘ฅ)=5๐‘ฅ3โˆ’4๐‘ฅ2+6๐‘ฅโˆ’7(f+g)(x)=5x 3 โˆ’4x 2 +6xโˆ’7B.(๐‘“+๐‘”)(๐‘ฅ)=5๐‘ฅ3+2๐‘ฅ2โˆ’7(f+g)(x)=5x 3 +2x 2 โˆ’7C.(๐‘“+๐‘”)(๐‘ฅ)=โˆ’5๐‘ฅ3+8๐‘ฅ2+6๐‘ฅโˆ’1(f+g)(x)=โˆ’5x 3 +8x 2 +6xโˆ’1D.(๐‘“+๐‘”)(๐‘ฅ)=7๐‘ฅ3โˆ’7(f+g)(x)=7x 3 โˆ’7SUBMITarrow_backPREVIOUS

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Solution

To find (f+g)(x), we simply add the functions f(x) and g(x) together.

f(x) = 2x^2 + 6x - 4 g(x) = 5x^3 - 6x^2 - 3

Adding these together gives:

(f+g)(x) = 5x^3 + (2x^2 - 6x^2) + (6x) + (-4 -3) (f+g)(x) = 5x^3 - 4x^2 + 6x - 7

So, the correct answer is A. (f+g)(x) = 5x^3 - 4x^2 + 6x - 7.

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