Answered

Join the IDNLearn.com community and start getting the answers you need today. Discover the information you need quickly and easily with our reliable and thorough Q&A platform.

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 :

GinnyAnsweridn
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 are happy to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. Thank you for trusting IDNLearn.com with your questions. Visit us again for clear, concise, and accurate answers.