Find the difference of g(x) and j(x). g(x) = {x}^(2) - 2x + 11 j(x) = - {x}^(3) - {4x}^(2) + 5 ​

Question

Find the difference of g(x) and j(x).


`g(x) = {x}^(2) - 2x + 11`

`j(x) = - {x}^(3) - {4x}^(2) + 5`
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Answer 1

To find the answer, subtract j(x) from g(x):

g(x) - j(x)

Plug in the expressions that each function is equal to:

(x^2 - 2x + 11) - (-x^3 - 4x^2 + 5)

Distribute the negative, get rid of parentheses:

x^2 - 2x + 11 + x^3 + 4x^2 - 5

Combine like terms:

x^3 + 5x^2 - 2x + 6