The function $$ f $$ is defined by $$ f(x)=2 x+2 $$. Find $$ f(x+2) $$. $$ f(x+2)= $$ (u)

Question

UpStudy AI · Accepted Answer

1. We know the function is defined as  
   $$
   f(x) = 2x + 2.
   $$

2. To find $$ f(x+2) $$, substitute $$ x+2 $$ in place of $$ x $$:  
   $$
   f(x+2) = 2(x+2) + 2.
   $$

3. Distribute the $$ 2 $$ across the terms inside the parentheses:  
   $$
   f(x+2) = 2x + 4 + 2.
   $$

4. Combine like terms:  
   $$
   f(x+2) = 2x + 6.
   $$

Hence,  
$$
f(x+2) = 2x+6.
$$
$$ f(x+2) = 2x + 6 $$

The function is defined by .
Find .
(u)