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lilxiong
Hey there!

To start, whenever you are performing (f+g)(x), this means that you are to add the functions f(x) and g(x) together. 

In this case, f(x) is equal to 5x^3-2 and g(x) is equal to 2x+1.

Because you are adding the two expressions as according (f+g)(x), you should set up this expression:
(5x^3-2)(2x+1)

Now, combine your like terms (terms of the same variables that are all raised to the same power):
(5x^3-2)(2x+1)
=5x^3+2x-1

Therefore, (f+g)(x)=5x^3+2x-1

Hope this helps and I hope you have a marvelous day! :)

The expression for (f + g)(x) is [tex]\rm 5x^3+2x-1[/tex] and this can be determined by using the arithmetic operations and the given data.

Given :

  • [tex]\rm f(x) = 5x^3-2[/tex]
  • [tex]\rm g(x) = 2x + 1[/tex]

The following steps can be used in order to determine the value of (f + g)(x):

Step 1 - Write the given functions.

[tex]\rm f(x) = 5x^3-2[/tex]     --- (1)

[tex]\rm g(x) = 2x + 1[/tex]      --- (2)

Step 2 - Now, to determine the value of (f + g)(x), add both function f(x) and g(x).

f(x) + g(x) = (f + g)(x)

Step 3 - Substitute the value of f(x) and g(x) in the above expression.

[tex]\rm (f + g)(x) = 5x^3-2+2x+1[/tex]

Step 4 - Simplify the above expression.

[tex]\rm (f + g)(x) = 5x^3+2x-1[/tex]

For more information, refer to the link given below:

https://brainly.com/question/5245372