Question

Hey can you please help me posted picture of question

Answer 1

We have the following function:
 P (m) = m / 6 + 9
 Clearing m we have:
 m = 6 * (p-9)
 m= 6*p - 6*9
 Rewriting:
 m (p) = 6p-54
 Answer:
 The inverse function for this case is given by:
 m (p) = 6p-54
 option A

Answer 2

The correct answer is option B.

The solution is shown below

$P(m)= \frac{m}{6} -9 \\ \\ p=\frac{m}{6} -9 \\ \\ p+9=\frac{m}{6} \\ \\ 6(p+9)=m \\ \\ m=6p+54 \\ \\ M(p)=6p+54 \\ \\ M(p)=6m+54$