1. Given f ( x ) = 2x + 1 and g ( x ) = x2 + 2x – 1 find ( f + g ) ( x ) and ( f + g ) ( 2 )

Question

asked Apr 25, 2023 98.7k views

2 Answers

Feedy · Answer 1 · 2023-05-02T09:20:45+0000

Answer: = 12

Explanation:

Step 1. Find ( f + g ) ( x )

Since ( f + g ) ( x ) = f ( x ) + g ( x ) then;

$( f + g ) ( x ) = ( 2x + 1 ) + (x^2 + 2x -1 )\\ = 2x + 1 + x^2 + 2x -1\\ = x^2 + 4x$

Step 2. Find ( f + g ) ( 2 )

To find the solution for ( f + g ) ( 2 ), evaluate the solution above for 2.

Since ( f + g ) ( x ) = x^2 + 4x then;

$( f + g ) ( 2 ) = 2^2 + 4(2)\\ = 4 + 8\\ = 12$