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Answer :

ANSWER

h(x) = -6x² + 12x - 5

EXPLANATION

First replace f(x) and g(x) here:

[tex]h(x)=f(x)-g(x)[/tex][tex]h(x)=(3x^2+7x-4)-(9x^2-5x+1)[/tex]

Then we have to eliminate the parenthesis. The terms of the second parenthesis will change sign:

[tex]h(x)=3x^2+7x-4-9x^2+5x-1[/tex]

And finally add like terms:

[tex]\begin{gathered} h(x)=(3x^2-9x^2)+(7x+5x)+(-4-1) \\ h(x)=-6x^2+12x-5 \end{gathered}[/tex]

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