Question

Given: F(x) = 3x^2+1, G(x) = 2x - 3, H(X) = x Find F(x) + G(x) =

Answer 1

$F(x)+G(x)=3x^2+2x-2.$

Solution:

Given data: $F(x)=3x^2+1$ and $G(x)=2x-3$

To find F(x) + G(x):

Adding two functions which gives another function.

Substitute F(x) and G(x), we get

$F(x)+G(x)=(3x^2+1)+(2x-3)$

                    $=3x^2+1+2x-3$

                    $=3x^2+2x-3+1$

                    $=3x^2+2x-2$

$F(x)+G(x)=3x^2+2x-2$

Hence, $F(x)+G(x)=3x^2+2x-2.$