Function Composition Naming - Function to Name (Input/Output) (Level 1) - Mobius Math Academy

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

Level 1

This topic covers skills related to identifying the role of functions within composite functions. It specifically focuses on whether given functions act as inputs or outputs in the context of composition. The problems ask students to distinguish between input and output functions given certain composite expressions, enhancing their understanding of function hierarchies in mathematical operations. This is part of an introduction to function 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 (Input/Output) Worksheet

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

$A LaTex expression showing \text{given }y(z(x))\\\\y(x) \text{is the ?}$

What part of this composite function is y(x)?

output function

$A LaTex expression showing \text{given }b(n(x))\\\\b(x) \text{is the ?}$

What part of this composite function is b(x)?

output function

What part of this composite function is m(x)?

$A LaTex expression showing \text{given }p(m(x))\\\\m(x) \text{is the ?}$

output function

$A LaTex expression showing \text{given }n(c(x))\\\\c(x) \text{is the ?}$

What part of this composite function is c(x)?

output function

$A LaTex expression showing \text{given }d(b(x))\\\\d(x) \text{is the ?}$

What part of this composite function is d(x)?

output function

What part of this composite function is z(x)?

$A LaTex expression showing \text{given }m(z(x))\\\\z(x) \text{is the ?}$

output function

$A LaTex expression showing \text{given }p(b(x))\\\\p(x) \text{is the ?}$

What part of this composite function is p(x)?

output function

$A LaTex expression showing \text{given }r(d(x))\\\\r(x) \text{is the ?}$

What part of this composite function is r(x)?

output function