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

Level 1

This math topic focuses on identifying and naming the components of composite functions, specifically discerning between inner and outer functions. The learners tackle problems where they are given expressions of composite functions and are asked to determine whether a specified function component is the inner or the outer function. This forms part of a broader introduction to the concepts of functions, their composition, and inversion.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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

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