`r (x) =3x -7`
`t (x) =3x + r (x)`
The function r and t are defined above. What is the value of `t (2)` ?

Options

A. `-3`
B. `-1`
C. 0
D. 5

Explanation

To solve the problem, we need to find the value of \( t(2) \) using the given functions \( r(x) \) and \( t(x) \).

1. **Identify the functions:**
- We have \( r(x) = 3x - 7 \)
- We also have \( t(x) = 3x + r(x) \)

2. **Substitute \( r(x) \) into \( t(x) \):**
- To find \( t(x) \), we substitute \( r(x) \) into the equation for \( t(x) \):
\[ t(x) = 3x + r(x) = 3x + (3x - 7) \]

3. **Simplify \( t(x) \):**
- Combine like terms:
\[ t(x) = 3x + 3x - 7 = 6x - 7 \]

4. **Now, find \( t(2) \):**
- Substitute \( x = 2 \) into the simplified function \( t(x) \):
\[ t(2) = 6(2) - 7 \]

5. **Calculate the value:**
- Perform the multiplication and subtraction:
\[ t(2) = 12 - 7 = 5 \]

Thus, the value of \( t(2) \) is \( 5 \).