Question

Add and subtract functions

Answer 1

Answer:
`3x^2+5x+3`

Explanation:

For this exercise you need to remember the multiplication of signs:

`(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-`

You know that the function f(x) is:

`f(x)=5x+3`

And the function g(x) is:

`g(x)=3x^2`

Then to find
`(f+g)(x)` you need to add the function f(x) and the function g(x) by adding (or combining) the like terms, you get that the sum is the following:

`(f+g)(x)=(5x+3)+(3x^2)`

`(f+g)(x)=5x+3+3x^2\\\\(f+g)(x)=3x^2+5x+3`

As you can notice, when you add the functions given in the exercise, you get a Quadratic function, which is a function whose highest exponent is 2 and has this form:

`f(x) = ax^2 + bx + c`

Where "a", "b", and "c" are numbers (
`a\\eq 0`)