Consider the following functions. f(x)= 1/3x^2-3/4x g(x)=1/2x+5/6 h(x)=1/4x^2-5/8x+2/5 Part a. Amarion wants to determine f(x)-g(x)-h(x) . His steps are shown below, but he made a mistake. In which step did he make a mistake and what was the mistake? Amarion made a mistake in Step 1:(1/3x^2-3/4x)-(1/2x+5/6)-(1/4x^2-5/8x+2/5) Step 2: (1/3x^2-5/4x-5/6)-(1/4x^2-5/8x+2/5) Step 3: 1/12x^2-15/8x-13/30 part b. because a. he did not distribute the -1 to all terms B. he did not get a common denominator for all the terms C. he did not change the exponents when combining like terms

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider the following functions.

f(x)= 1/3x^2-3/4x

g(x)=1/2x+5/6

h(x)=1/4x^2-5/8x+2/5


Part a. Amarion wants to determine f(x)-g(x)-h(x) . His steps are shown below, but he made a mistake.
In which step did he make a mistake and what was the mistake?
Amarion made a mistake in
Step 1:(1/3x^2-3/4x)-(1/2x+5/6)-(1/4x^2-5/8x+2/5)

Step 2: (1/3x^2-5/4x-5/6)-(1/4x^2-5/8x+2/5)

Step 3: 1/12x^2-15/8x-13/30

part b. because
a. he did not distribute the -1 to all terms
B. he did not get a common denominator for all the terms
C. he did not change the exponents when combining like terms

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