Question
Supposed f(x) = 2" - 3x and g(x) = 1 - 2x.
What is (f + g)(x)?
Hint - Add f(x) and g(x) and combine like terms.
Answer:
choose your answer...
What is (f + g)(x)?
Hint - Add f(x) and g(x) and combine like terms.
Answer:
choose your answer...
Answers
Answer
2^n-5x + 1
2^n+ 5x+1
2^n-x-1
2^n-5x-1
2^n+ 5x+1
2^n-x-1
2^n-5x-1
Answer
Is it a , b , c or d??!
Answered by
GPT-4o mini
To find \((f + g)(x)\), we need to add the functions \(f(x)\) and \(g(x)\) together.
Given:
- \(f(x) = 2x - 3\)
- \(g(x) = 1 - 2x\)
Now, we can calculate \((f + g)(x)\):
\[
(f + g)(x) = f(x) + g(x)
\]
\[
= (2x - 3) + (1 - 2x)
\]
Now, combine the like terms:
\[
= 2x - 3 + 1 - 2x
\]
\[
= (2x - 2x) + (-3 + 1)
\]
\[
= 0 - 2
\]
\[
= -2
\]
So, \((f + g)(x) = -2\).
Thus, the answer is:
\(-2\)
Given:
- \(f(x) = 2x - 3\)
- \(g(x) = 1 - 2x\)
Now, we can calculate \((f + g)(x)\):
\[
(f + g)(x) = f(x) + g(x)
\]
\[
= (2x - 3) + (1 - 2x)
\]
Now, combine the like terms:
\[
= 2x - 3 + 1 - 2x
\]
\[
= (2x - 2x) + (-3 + 1)
\]
\[
= 0 - 2
\]
\[
= -2
\]
So, \((f + g)(x) = -2\).
Thus, the answer is:
\(-2\)
Answered by
GPT-4o mini
It looks like you listed a few different expressions. However, it's unclear what you're asking for in relation to these expressions. If you are looking to find a particular operation (like addition or simplification) or if you're looking for which of these is equal to \((f + g)(x)\) calculated previously, please clarify.
Given that previously we calculated \((f + g)(x) = -2\), none of the provided expressions appear directly related to this calculation.
If you're looking to evaluate any of these expressions or perform a specific operation with them, please provide additional context.
Given that previously we calculated \((f + g)(x) = -2\), none of the provided expressions appear directly related to this calculation.
If you're looking to evaluate any of these expressions or perform a specific operation with them, please provide additional context.
Answered by
GPT-4o mini
Thank you for your patience! Let's analyze the expressions you've listed in relation to the previous function calculation, which resulted in \((f + g)(x) = -2\):
The expressions you provided are:
1. \(2^n - 5x + 1\)
2. \(2^n + 5x + 1\)
3. \(2^n - x - 1\)
4. \(2^n - 5x - 1\)
From the previous calculation, we found:
\[
(f + g)(x) = -2
\]
Now we want to determine which of the choices equals \(-2\).
1. **For \(2^n - 5x + 1\)**, set it equal to \(-2\):
\[
2^n - 5x + 1 = -2 \implies 2^n - 5x = -3
\]
(This does not necessarily imply \(2^n - 5x + 1 = -2\) for all \(n, x\))
2. **For \(2^n + 5x + 1\)**:
\[
2^n + 5x + 1 = -2 \implies 2^n + 5x = -3
\]
(Same reasoning)
3. **For \(2^n - x - 1\)**:
\[
2^n - x - 1 = -2 \implies 2^n - x = -1 \implies 2^n = x - 1
\]
(This also depends on \(n\) and \(x\), not equal to \(-2\))
4. **For \(2^n - 5x - 1\)**:
\[
2^n - 5x - 1 = -2 \implies 2^n - 5x = -1 \implies 2^n = 5x - 1
\]
(Again, this does not universally equal \(-2\) for all \(n, x\))
None of these expressions are equal to a constant \(-2\) without additional context or specific values for \(n\) and \(x\).
If you need to select one based on the functional equality rather than just simply being \(-2\), it would still depend on those variable conditions.
**Conclusion**: If your task is to find if any of these expressions equal \(-2\) for some \(n\) and \(x\), none would directly do so without context. Let me know if you want to consider specific values for \(n\) or \(x\) in the options!
The expressions you provided are:
1. \(2^n - 5x + 1\)
2. \(2^n + 5x + 1\)
3. \(2^n - x - 1\)
4. \(2^n - 5x - 1\)
From the previous calculation, we found:
\[
(f + g)(x) = -2
\]
Now we want to determine which of the choices equals \(-2\).
1. **For \(2^n - 5x + 1\)**, set it equal to \(-2\):
\[
2^n - 5x + 1 = -2 \implies 2^n - 5x = -3
\]
(This does not necessarily imply \(2^n - 5x + 1 = -2\) for all \(n, x\))
2. **For \(2^n + 5x + 1\)**:
\[
2^n + 5x + 1 = -2 \implies 2^n + 5x = -3
\]
(Same reasoning)
3. **For \(2^n - x - 1\)**:
\[
2^n - x - 1 = -2 \implies 2^n - x = -1 \implies 2^n = x - 1
\]
(This also depends on \(n\) and \(x\), not equal to \(-2\))
4. **For \(2^n - 5x - 1\)**:
\[
2^n - 5x - 1 = -2 \implies 2^n - 5x = -1 \implies 2^n = 5x - 1
\]
(Again, this does not universally equal \(-2\) for all \(n, x\))
None of these expressions are equal to a constant \(-2\) without additional context or specific values for \(n\) and \(x\).
If you need to select one based on the functional equality rather than just simply being \(-2\), it would still depend on those variable conditions.
**Conclusion**: If your task is to find if any of these expressions equal \(-2\) for some \(n\) and \(x\), none would directly do so without context. Let me know if you want to consider specific values for \(n\) or \(x\) in the options!