Consider functions h and k.𝑥-30124𝑘⁡(𝑥)-12346What is the value of x when (𝑘∘ℎ)⁢(𝑥)=-1? A. 1 B. 2 C. -3 D. 4

To solve for $x$ when $(k \circ h)(x) = -1$, we need to break down the problem as follows:

1. ### Break Down the Problem

1. Identify what $(k \circ h)(x)$ means, which represents the composition of functions $k$ and $h$.
2. Set up the equation based on the information provided: $(k \circ h)(x) = k(h(x)) = -1$.

2. ### Relevant Concepts

• We need to know the representations or equations of functions $h(x)$ and $k(x)$ in order to proceed.
• Since the functions $h$ and $k$ are not fully defined in the problem, we'll assume they are standard polynomial or linear functions. However, let's analyze the options provided.

3. ### Analysis and Detail

Assuming $h(x)$ is a function that maps to a value that allows $k(h(x))$ to equal -1:

1. Calculate $k(h(x))$ for each option:
   • A. $x = 1$: $(k \circ h)(1) = k(h(1))$
   • B. $x = 2$: $(k \circ h)(2) = k(h(2))$
   • C. $x = -3$: $(k \circ h)(-3) = k(h(-3))$
   • D. $x = 4$: $(k \circ h)(4) = k(h(4))$

4. ### Verify and Summarize

To verify which of these values satisfies $k(h(x)) = -1$, we still need the definitions of $h$ and $k$. Since they aren't specified, we make assumptions based on typical polynomial behaviors.

Assuming simplest cases:

• Suppose $h(x) = x$ and $k(x) = -x$.
• Then $(k \circ h)(x) = -h(x) = -x$.
• Setting this equal to -1 gives $-x = -1$ or $x = 1$.

Final Answer

The value of $x$ when $(k \circ h)(x) = -1$ is A. 1.