The problem requires matching the given functions with their corresponding descriptions. The functions are: A. $f(x) = 2x + 4$ B. $g(x) = 2(x + 4)$ C. $h(x) = 4x + 2$ D. $k(x) = 4(x + 2)$ The descriptions are: 1. To get the output, add 4 to the input, then multiply the result by 2.

1. Problem Description

The problem requires matching the given functions with their corresponding descriptions. The functions are:

A. $f(x) = 2x + 4$

B. $g(x) = 2(x + 4)$

C. $h(x) = 4x + 2$

D. $k(x) = 4(x + 2)$

The descriptions are:

1. To get the output, add 4 to the input, then multiply the result by

2.

2. To get the output, add 2 to the input, then multiply the result by

4.

3. To get the output, multiply the input by 2, then add 4 to the result.

4. To get the output, multiply the input by 4, then add 2 to the result.

2. Solution Steps

Let's analyze each function and match it with its corresponding description:

A. $f(x) = 2x + 4$ means to multiply the input $x$ by 2, and then add 4 to the result. This matches description

3.

B. $g(x) = 2(x + 4)$ means to add 4 to the input $x$, then multiply the result by

2. This matches description

1.

C. $h(x) = 4x + 2$ means to multiply the input $x$ by 4, then add 2 to the result. This matches description

4.

D. $k(x) = 4(x + 2)$ means to add 2 to the input $x$, then multiply the result by

4. This matches description

2.

3. Final Answer

A. $f(x) = 2x + 4$ matches description

3. B. $g(x) = 2(x + 4)$ matches description

1. C. $h(x) = 4x + 2$ matches description

4. D. $k(x) = 4(x + 2)$ matches description

2.