This math topic focuses on identifying the input and output functions within composite functions. The problems involve analyzing given composite functions and determining which function is being applied first (input) and which is applied as the result (output). These skills are foundational to understanding function composition and inversion in the broader context of function operations. The topic is part of an introductory unit on functions, providing a practical context for learners to apply their knowledge in distinguishing between different components of composite functions.

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Function Composition Naming - Name (Input/Output) to Function Worksheet

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Function Composition Naming - Name (Input/Output) to Function
1
A LaTex expression showing \text{given }b(n(x))\\\\\text{output function is?}
What part of this composite function is the output function?
a A LaTex expression showing n(x)
b A LaTex expression showing b(x)
2
A LaTex expression showing \text{given }c(z(x))\\\\\text{output function is?}
What part of this composite function is the output function?
a A LaTex expression showing c(x)
b A LaTex expression showing z(x)
3
A LaTex expression showing \text{given }m(n(x))\\\\\text{output function is?}
What part of this composite function is the output function?
a A LaTex expression showing n(x)
b A LaTex expression showing m(x)
4
A LaTex expression showing \text{given }p(r(x))\\\\\text{input function is?}
What part of this composite function is the input function?
a A LaTex expression showing p(x)
b A LaTex expression showing r(x)
5
A LaTex expression showing \text{given }p(m(x))\\\\\text{input function is?}
What part of this composite function is the input function?
a A LaTex expression showing m(x)
b A LaTex expression showing p(x)
6
A LaTex expression showing \text{given }c(d(x))\\\\\text{output function is?}
What part of this composite function is the output function?
a A LaTex expression showing d(x)
b A LaTex expression showing c(x)
7
A LaTex expression showing \text{given }m(z(x))\\\\\text{output function is?}
What part of this composite function is the output function?
a A LaTex expression showing z(x)
b A LaTex expression showing m(x)
8
A LaTex expression showing \text{given }n(d(x))\\\\\text{output function is?}
What part of this composite function is the output function?
a A LaTex expression showing n(x)
b A LaTex expression showing d(x)