`p (x)=7x+4`
`s (x)=7-p (x)`
What is the value of `s (-1)` ?

Options

A. `-3`
B. 4
C. 10
D. 17

Explanation

To find the value of \( s(-1) \), we will follow these steps:

1. **Identify the functions**: We have two functions given:
- \( p(x) = 7x + 4 \)
- \( s(x) = 7 - p(x) \)

2. **Substitute \( p(x) \) into \( s(x) \)**: We need to express \( s(x) \) in terms of \( x \):
\[ s(x) = 7 - p(x) = 7 - (7x + 4) \]

3. **Simplify \( s(x) \)**: Now, we simplify the expression:
\[ s(x) = 7 - 7x - 4 = 3 - 7x \]

4. **Calculate \( s(-1) \)**: Now we will substitute \( -1 \) into the simplified function \( s(x) \):
\[ s(-1) = 3 - 7(-1) \]

5. **Simplify the expression**:
\[ s(-1) = 3 + 7 = 10 \]

Thus, the value of \( s(-1) \) is \( 10 \).