Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Explore thousands of questions and answers from knowledgeable experts in various fields on our Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Find the value of [tex]\((f-g)(x)\)[/tex]:

A. [tex]\(x^2 + x - 4\)[/tex]
B. [tex]\(x^2 + x + 4\)[/tex]
C. [tex]\(x^2 - x + 6\)[/tex]
D. [tex]\(x^2 + x + 6\)[/tex]

Sagot :

GinnyAnswer
To solve the problem [tex]\((f - g)(x)\)[/tex] given the functions [tex]\( f(x) = x^2 + x + 6 \)[/tex] and [tex]\( g(x) = 4 \)[/tex], we need to follow these steps:

1. Define the functions:
- [tex]\( f(x) = x^2 + x + 6 \)[/tex]
- [tex]\( g(x) = 4 \)[/tex]

2. Subtraction of functions:
- We need to subtract [tex]\( g(x) \)[/tex] from [tex]\( f(x) \)[/tex].
- So, [tex]\( (f - g)(x) = f(x) - g(x) \)[/tex].

3. Perform the subtraction:
- [tex]\( f(x) - g(x) = (x^2 + x + 6) - 4 \)[/tex].

4. Simplify the expression:
- To subtract these, subtract 4 from the constant term in [tex]\( f(x) \)[/tex]:
- [tex]\( x^2 + x + 6 - 4 \)[/tex].
- Simplify the constant terms: [tex]\( 6 - 4 = 2 \)[/tex].

Therefore, the result of the subtraction [tex]\( (f - g)(x) \)[/tex] is:
[tex]\[ x^2 + x + 2 \][/tex].

So the correct answer is not among the given options. The correct and simplified form of [tex]\((f - g)(x)\)[/tex] is:
[tex]\[ x^2 + x + 2 \][/tex].
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.