F(x) = 8-4x+X² g(x) = 2x² +5x-1 find f(x) + g(x)
2 answers:
Answer: " " .
________________________________
Step-by-step explanation:
________________________________
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.}.
_________________________________
So, plug in: " " ; for: "
" ;
And plug in the given: " " ; for "
" ;
_________________________________
And add the sum:
________________________________
→ ;
_________________________________
;
_________________________________
→ Now, combine the "like terms" ; and simplify:
_________________________________
→ ;
→ ; stands alone;
→ ;
_________________________________
→ Now; we have accounted for All of the terms in our expression;
and we can write out our answer:
_________________________________
→ which is: " " .
_________________________________
Hopefully—this answer and explanation is helpful to you.
Wishing you the best in your academic pursuits!
________________________________
You might be interested in