Your teacher will review your responses to questions 12–15 to ensure your receive proper credit for your answers.
Describe the relationship of input and output values for composite functions.
The relationship of input and output values for composite functions involves applying one function to the output of another function. In other words, if we have two functions f(x) and g(x), the composite function can be represented as (f ∘ g)(x) = f(g(x)). This means that the output of the inner function g(x) becomes the input for the outer function f(x).
When evaluating composite functions, we first find the value of the inner function at the given input, and then use this result as the input for the outer function to find the final output. Therefore, the input for the composite function is the input for the inner function, and the output for the composite function is the output for the outer function.
In summary, the relationship of input and output values for composite functions involves using the output of one function as the input for another function to ultimately find the final output value.