Question

Let f(x)=2x^2+3x-15 and g(x)=x-1. Perform the function operation and then find the domain.

(F+G)(X)=

Answer 1

`(F+G)x=2x^2+4x-16`

`Domain`
`=(-\infty,\infty)`

Explanation:

Given that

`F(x)=2x^2+3x-15`

and
`G(x)=x-1`

then
`(F+G)x = F(x)+G(x)`

`=(2x^2+3x-15)+(x-1)\\=2x^2+3x-15+x-1\\\\(F+G)x=2x^2+4x-16`

Domain

since it is a polynomial of degree
`2`, the domain will be whole real line

`domain`
`=(-\infty,\infty)`