Question

If `f(x) = 3x + 5` and `g(x) = x^2`, what is `f(x) + g(x)`?

Answer 1

`x^2+3x+5`

Explanation:

You can simply add the definition of the function: starting from

`f(x)+g(x)`

substitute `f(x)` with its definition `3x+5`, and `g(x)` with its definition `x^2` to get

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

If you prefer, you can rearrange the polynomial in the usual order:

`x^2+3x+5`