Function Composition Naming - Function to Name (First/Second) (Level 1) - Mobius Math Academy

Function Composition Naming - Function to Name (First/Second)

Level 1

This math topic focuses on identifying the order of functions in composite functions. Specifically, it tests the ability to determine whether a function is the first or second in a composition. Each question presents a composite function using LaTeX notation and asks which part (first or second) a specified function represents within that composite. This essential skill is part of the broader study of functions in terms of 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 (First/Second) Worksheet

Function Composition Naming - Function to Name (First/Second)

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

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

second function

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

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

second function

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

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

second function

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

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

second function

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

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

second function

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

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

second function

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

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

second function

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

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

second function