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(80pts) Repost ! Please please Help one easy problem #5

80pts Repost Please Please Help One Easy Problem 5 class=

Sagot :

Step-by-step explanation:

#5

(f+g) (x) = x³-2x²+1 + 4x³-5x+7

= 5x³-2x²-5x+8 (option D)

Answer:

[tex](f+g)(x)= 5x^3-2x^2-5x+8[/tex]

Step-by-step explanation:

Given functions:

[tex]\begin{cases}f(x)=x^3-2x^2+1\\g(x)=4x^3-5x+7\end{cases}[/tex]

Function composition is an operation that takes two functions and produces a third function.

The composite function (f + g)(x) means to add function f(x) and g(x):

[tex]\begin{aligned}(f+g)(x) & = f(x)+g(x)\\& = (x^3-2x^2+1)+(4x^3-5x+7)\\& = x^3-2x^2+1+4x^3-5x+7\\& = x^3+4x^3-2x^2-5x+1+7\\& = 5x^3-2x^2-5x+8 \end{aligned}[/tex]

Learn more about composite functions here:

https://brainly.com/question/27966754

https://brainly.com/question/27747339