you use the output of the first function as the input of the second function.
true
True.
True.
true
domain
input
true
True.
True.
true
To compose two functions, you take the output of the first function and use it as the input for the second function. If you have two functions, ( f(x) ) and ( g(x) ), the composition is denoted as ( (g \circ f)(x) ), which means you first apply ( f ) to ( x ) and then apply ( g ) to the result: ( g(f(x)) ). This process allows you to combine the behaviors of both functions into a single function.
range
true
domain
No. If the range of the first function is not the domain of the second function then the composite function is not defined.
To compose two functions, you need two functions, typically denoted as ( f(x) ) and ( g(x) ). The composition of these functions is expressed as ( (f \circ g)(x) ), which means you first apply ( g ) to ( x ) and then apply ( f ) to the result of ( g(x) ). Additionally, you need to ensure that the output of the second function ( g(x) ) is within the domain of the first function ( f ) for the composition to be valid.
The domain and range of the composite function depend on both of the functions that make it up.