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Oksi-84 [34.3K]
3 years ago
10

Pls F(x) = 4x^4 +5x -3 G(x)= 4x3 - 3x3 +5. Find (f-g) (x)

Mathematics
1 answer:
lukranit [14]3 years ago
8 0

Answer:

After solving we get \mathbf{(f-g)(x)=-4x^3+7x^2+5x-8}

Option A is correct option.

Step-by-step explanation:

We are given :

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

We need to find (f-g)(x)

(f-g)(x) is equal to  f(x)-g(x)

So, finding (f-g)(x)

(f-g)(x)=f(x)-g(x)\\(f-g)(x)=4x^2+5x-3-(4x^3-3x^2+5)\\(f-g)(x)=4x^2+5x-3-4x^3+3x^2-5\\Combining \ like \ terms:\\(f-g)(x)=-4x^3+3x^2+4x^2+5x-3-5\\(f-g)(x)=-4x^3+7x^2+5x-8

So, after solving we get \mathbf{(f-g)(x)=-4x^3+7x^2+5x-8}

Option A is correct option.

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Associative property is only applied to addition and multiplication. Thus, it can't be applied to subtraction. This property is manifested when you get the same answer no matter where you put the parenthesis. Example of associative property is:

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