Let the functions g be defined as `g(x)=-3x+6`. If `g(6)=r`, what is the value of g(r)?

Answer

To solve the problem step by step, we will follow the instructions given in the question.

**Step 1: Define the function g(x).**
The function is given as:
\[ g(x) = -3x + 6 \]

**Step 2: Calculate g(6) and set it equal to r.**
We need to find the value of g(6):
\[ g(6) = -3(6) + 6 \]
Calculating this:
\[ g(6) = -18 + 6 = -12 \]
Thus, we have:
\[ r = g(6) = -12 \]

**Step 3: Find g(r).**
Now we need to calculate g(r), which is g(-12):
\[ g(-12) = -3(-12) + 6 \]
Calculating this:
\[ g(-12) = 36 + 6 = 42 \]

**Final Answer:**
The value of g(r) is:
\[ g(r) = 42 \]

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