Supposed f(x) = 2" - 3x and g(x) = 1 - 2x.

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...

GPT-4o mini · Answer

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: $-2$

Answer

2^n-5x + 1 2^n+ 5x+1 2^n-x-1 2^n-5x-1

GPT-4o mini · Answer

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.

Answer

Is it a , b , c or d??!

GPT-4o mini · Answer

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:

$2^n - 5x + 1$
$2^n + 5x + 1$
$2^n - x - 1$
$2^n - 5x - 1$

From the previous calculation, we found:

\[ (f + g)(x) = -2 \]

Now we want to determine which of the choices equals $-2$.

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 $n, x$)
For $2^n + 5x + 1$: \[ 2^n + 5x + 1 = -2 \implies 2^n + 5x = -3 \] (Same reasoning)
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 $-2$)
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!