This math topic focuses on practicing function composition, specifically identifying and naming the inner and outer functions within given composite function expressions. It forms part of an introduction to functions, composition, and inversion. Each question presents a composite function and asks students to determine which part is the inner or outer function. The problems include a mixture of mathematical identification and understanding the structure of composed functions, enhancing students' skills in analyzing function operations.

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Function Composition Naming - Name (Inner/Outer) to Function Worksheet

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Function Composition Naming - Name (Inner/Outer) to Function
1
A LaTex expression showing \text{given }m(r(x))\\\\\text{inner function is?}
What part of this composite function is the inner function?
a A LaTex expression showing m(x)
b A LaTex expression showing r(x)
2
A LaTex expression showing \text{given }y(m(x))\\\\\text{outer function is?}
What part of this composite function is the outer function?
a A LaTex expression showing y(x)
b A LaTex expression showing m(x)
3
A LaTex expression showing \text{given }r(n(x))\\\\\text{inner function is?}
What part of this composite function is the inner function?
a A LaTex expression showing n(x)
b A LaTex expression showing r(x)
4
A LaTex expression showing \text{given }y(n(x))\\\\\text{outer function is?}
What part of this composite function is the outer function?
a A LaTex expression showing n(x)
b A LaTex expression showing y(x)
5
A LaTex expression showing \text{given }r(c(x))\\\\\text{outer function is?}
What part of this composite function is the outer function?
a A LaTex expression showing c(x)
b A LaTex expression showing r(x)
6
A LaTex expression showing \text{given }c(r(x))\\\\\text{inner function is?}
What part of this composite function is the inner function?
a A LaTex expression showing r(x)
b A LaTex expression showing c(x)
7
A LaTex expression showing \text{given }m(r(x))\\\\\text{outer function is?}
What part of this composite function is the outer function?
a A LaTex expression showing r(x)
b A LaTex expression showing m(x)
8
A LaTex expression showing \text{given }m(c(x))\\\\\text{inner function is?}
What part of this composite function is the inner function?
a A LaTex expression showing m(x)
b A LaTex expression showing c(x)