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Select the correct answer.If f(e)- I and g(r) = 203 - vI - I, find 1 (=) - g(=).

Select the correct answer.If f(e)- I and g(r) = 203 - vI - I, find 1 (=) - g(=).-example-1

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1 vote
Step-by-step explanation

So we are given two functions f(x) and g(x) and we must find the expression for f(x)-g(x). We just need to take the expression for f(x) and substract that of g(x) from it:


\begin{gathered} f(x)-g(x)=√(x)-x-(2x^3-√(x)-x) \\ f(x)-g(x)=√(x)-x-2x^3+√(x)+x \end{gathered}

Then we group like terms and we add/substract them:


\begin{gathered} f(x)-g(x)=√(x)-x-2x^3+√(x)+x=-2x^3+√(x)+√(x)+x-x \\ f(x)-g(x)=-2x^3+(1+1)√(x)+(1-1)x \\ f(x)-g(x)=-2x^3+2√(x) \end{gathered}Answer

Then the answer is option D.

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