Adding functions can be tough for 12th-grade students.
Important Rules:
What It Means: If you have two functions, ( f(x) ) and ( g(x) ), the sum is written as ( (f + g)(x) = f(x) + g(x) ). This means you take the value of ( f(x) ) and add it to the value of ( g(x) ) for the same ( x ).
Where It Works: The domain, or the set of ( x ) values you can use, for ( (f + g)(x) ) is where the domains of ( f ) and ( g ) overlap. This is called the intersection of the two domains.
To make this easier, practice is really helpful.
Doing examples and getting comfortable with how to read function notation will make these ideas clearer.
Adding functions can be tough for 12th-grade students.
Important Rules:
What It Means: If you have two functions, ( f(x) ) and ( g(x) ), the sum is written as ( (f + g)(x) = f(x) + g(x) ). This means you take the value of ( f(x) ) and add it to the value of ( g(x) ) for the same ( x ).
Where It Works: The domain, or the set of ( x ) values you can use, for ( (f + g)(x) ) is where the domains of ( f ) and ( g ) overlap. This is called the intersection of the two domains.
To make this easier, practice is really helpful.
Doing examples and getting comfortable with how to read function notation will make these ideas clearer.