Answered

Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Explore our Q&A platform to find in-depth answers from a wide range of experts in different fields. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

If [tex]f(x) = 3x^2 + 1[/tex] and [tex]g(x) = 1 - x[/tex], what is the value of [tex](f - g)(2)[/tex]?

A. 12
B. 14
C. 36
D. 38

Sagot :

GinnyAnswer
To find the value of [tex]\((f - g)(2)\)[/tex] when [tex]\(f(x) = 3x^2 + 1\)[/tex] and [tex]\(g(x) = 1 - x\)[/tex], let's go through it step-by-step.

1. Evaluate [tex]\(f(2)\)[/tex]:

Given [tex]\(f(x) = 3x^2 + 1\)[/tex],
[tex]\[ f(2) = 3(2)^2 + 1 = 3 \cdot 4 + 1 = 12 + 1 = 13. \][/tex]

2. Evaluate [tex]\(g(2)\)[/tex]:

Given [tex]\(g(x) = 1 - x\)[/tex],
[tex]\[ g(2) = 1 - 2 = -1. \][/tex]

3. Calculate [tex]\((f - g)(2)\)[/tex]:

[tex]\[ (f - g)(2) = f(2) - g(2). \][/tex]

Substitute the values found:
[tex]\[ (f - g)(2) = 13 - (-1) = 13 + 1 = 14. \][/tex]

Hence, the value of [tex]\((f - g)(2)\)[/tex] is [tex]\(\boxed{14}\)[/tex].
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.