[tex]F(x)+G(x)=3x^2+2x-2.[/tex]
Solution:
Given data: [tex]F(x)=3x^2+1[/tex] and [tex]G(x)=2x-3[/tex]
To find F(x) + G(x):
Adding two functions which gives another function.
Substitute F(x) and G(x), we get
[tex]F(x)+G(x)=(3x^2+1)+(2x-3)[/tex]
[tex]=3x^2+1+2x-3[/tex]
[tex]=3x^2+2x-3+1[/tex]
[tex]=3x^2+2x-2[/tex]
[tex]F(x)+G(x)=3x^2+2x-2[/tex]
Hence, [tex]F(x)+G(x)=3x^2+2x-2.[/tex]
