F(x) = 8-4x+X²
g(x) = 2x² +5x-1
find f(x) + g(x)

 " " .

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Step-by-step explanation:

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We are to find the following sum:

  Add:    .

Given:    ;

Rewrite as follows:

              ;

{Note:  Since:   ;  we can rearrange the terms;

   and rewrite by starting in the order of the highest degree monomial

(i.e., the term among the 3 (three) monomials containing the variable with the highest exponential value—which is:  " " ; and continue in descending order; with   " " ;  which is:  " " ; [with the 'implied exponent of "1" ; since any value, raised to the exponent, "1" ; ["first power"]; resulting in that same value.   Then, we finish with the last monomial, " ";  which is:  "(+8x) " —with the implied exponent of "0" ; since any non-zero value; raised to the "0th" exponent ['raised to the power of zero']; results in the value of "1" .  

       →  As such:  "  +8x  =  +8x⁰ " ;

                      ↔ "  +8x⁰ = (+8) * (x⁰) = (+8) * (1) =  " (+8) ;

→  {since any value, multiplied by "1" ; results in that same value;  this refers to the "identity property" of multiplication.}.

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So, plug in:  " " ;  for:  " " ;

And plug in the given:  " " ;  for " " ;

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And add the sum:

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→          ;

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                            ;

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         →  Now, combine the "like terms" ; and simplify:

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         →   ;

         →    ;  stands alone;

         →   ;

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→  Now; we have accounted for All of the terms in our expression;

and we can write out our

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   →  which is:  " " .

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Hopefully—this answer and explanation is helpful to you.

  Wishing you the best in your academic pursuits!

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