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For all p != 2 define p^(**) = (p + 5)/(...

For all `p != 2` define `p^(**) = (p + 5)/(p- 2)`. If `p = 3`, then `p^(**)` =

A

`8//5`

B

`8//3`

C

4

D

8

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to evaluate the expression defined for \( p^{**} \) when \( p = 3 \). 1. **Start with the definition of \( p^{**} \)**: \[ p^{**} = \frac{p + 5}{p - 2} \] 2. **Substitute \( p = 3 \) into the expression**: \[ p^{**} = \frac{3 + 5}{3 - 2} \] 3. **Calculate the numerator**: \[ 3 + 5 = 8 \] 4. **Calculate the denominator**: \[ 3 - 2 = 1 \] 5. **Combine the results**: \[ p^{**} = \frac{8}{1} = 8 \] Thus, when \( p = 3 \), the value of \( p^{**} \) is \( 8 \). ### Final Answer: \[ p^{**} = 8 \]
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