1. The problem is to find the greatest value of $t$ where two given functions are equal. 2. To solve this, we set the two functions equal to each other: $$f(t) = g(t)$$ 3. We then solve the resulting equation for $t$. 4. After finding all solutions, we identify the greatest value of $t$. 5. Finally, we round this value to 3 decimal places. Please provide the two functions so I can proceed with the calculations.