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If f (x) =x ^(2) -6x +5,0 le x le 4 then...

If `f (x) =x ^(2) -6x +5,0 le x le 4` then `f (8)=`

A

5

B

21

C

11

D

does not exist

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the function given and its domain. 1. **Identify the function and its domain:** The function is given as: \[ f(x) = x^2 - 6x + 5 \] The domain of this function is specified as: \[ 0 \leq x \leq 4 \] 2. **Evaluate the function at x = 8:** We are asked to find \( f(8) \). However, we need to check if 8 is within the domain of the function. The domain states that \( x \) can only take values between 0 and 4, inclusive. 3. **Check if x = 8 is in the domain:** Since 8 is greater than 4, it does not fall within the specified domain of \( 0 \leq x \leq 4 \). 4. **Conclusion:** Since \( x = 8 \) is not in the domain of the function, we cannot evaluate \( f(8) \). Therefore, \( f(8) \) does not exist. Thus, the final answer is: \[ f(8) \text{ does not exist.} \]
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