Question

Let f(x) x²+2x-3

g(x) 3x²-x+7



1. find (f+G)(x)

2. find (f-G)(x)​

Answer 1

Question 1:

`{ \tt{(f +G)(x) = ( {x}^(2) + 2x - 3) + (3 {x}^(2) - x + 7)}} \\ \\ { \tt{ = ( {x}^(2) + 3 {x}^(2)) + (2x - x) + ( - 3 + 7) }} \\ \\(f + G)(x) = { \tt{4 {x}^(2) + x + 4 }}`

Question 2:

`{ \tt{(f - G)(x) = ( {x}^(2) + 2x - 3) - (3 {x}^(2) - x + 7) }} \\ \\ = { \tt{( {x}^(2) - 3 {x}^(2) ) + (2x - ( - x)) + ( - 3 - 7)}} \\ \\ (f - G)(x) = { \tt{ - {2x}^(2) + 3x - 10 }}`