Answer :

carlosego

For this case we must find

[tex](f + g) (x).[/tex]

By definition we have to:

[tex](f + g) (x) = f (x) + g (x)[/tex]

We have the following functions:

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

Now, applying the given definition, we have:

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

Answer:

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

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