Find f(0) for f(t)=`3t^2-10t+6`.

Answer

To find \( f(0) \) for the function \( f(t) = 3t^2 - 10t + 6 \), follow these steps:

### Step 1: Write down the function
The function is given as:
\[ f(t) = 3t^2 - 10t + 6 \]

### Step 2: Substitute \( t = 0 \) into the function
To find \( f(0) \), we will substitute \( t \) with \( 0 \):
\[ f(0) = 3(0)^2 - 10(0) + 6 \]

### Step 3: Calculate each term
Now, calculate each term in the expression:
- The first term: \( 3(0)^2 = 3 \times 0 = 0 \)
- The second term: \( -10(0) = 0 \)
- The third term: \( 6 \)

### Step 4: Combine the results
Now, combine the results from the calculations:
\[ f(0) = 0 + 0 + 6 = 6 \]

### Final Answer
Thus, the value of \( f(0) \) is:
\[ f(0) = 6 \]

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