Evaluate with a Variable the Composition of Two Functions

Evaluate with a Variable the Composition of Two Functions

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to solve a mathematical problem involving the function H of X, which is defined as X^2 + 6X + 8. The instructor demonstrates how to substitute 3A into the function to find H of 3A, and then further simplifies the expression. The process involves substituting H of 3A into another function, F of X = 5X, and applying the distributive property to reach the final answer. The tutorial emphasizes understanding the substitution process and simplification techniques.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the expression for H(3A) when H(x) = x^2 + 6x + 8?

9A^2 + 6A + 8

3A^2 + 6*3A + 8

9A^2 + 18A + 8

3A^2 + 18A + 8

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you substitute H(3A) into F(x) = 5x?

Replace x with 5A

Replace x with 3A

Replace x with H(3A)

Replace x with 3A^2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the expression for F(H(3A)) before applying the distributive property?

5 * (9A^2 + 18A + 8)

5 * (3A^2 + 6A + 8)

5 * (9A^2 + 6A + 8)

5 * (3A^2 + 18A + 8)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of applying the distributive property to 5 * (9A^2 + 18A + 8)?

45A^2 + 90A + 40

45A^2 + 18A + 40

45A^2 + 90A + 8

45A^2 + 18A + 8

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final simplified expression for F(H(3A))?

45A^2 + 18A + 8

45A^2 + 90A + 8

45A^2 + 90A + 40

45A^2 + 18A + 40

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