Question

Please answer this question im in the middle of a quiz

Answer 1

Answer:

$m(p) = 6p - 54$

Step-by-step explanation:

Given

$P(m) = \frac{m}{6} + 9$

Required

Determine the inverse function

$P(m) = \frac{m}{6} + 9$

Represent P(m) as P

$P = \frac{m}{6} + 9$

Swap the positions of P and m

$m = \frac{p}{6} + 9$

We are to make p the subject.

Subtract 9 from both sides

$m -9= \frac{p}{6} + 9-9$

$m -9= \frac{p}{6}$

Multiply through by 6

$6(m -9)= \frac{p}{6} * 6$

$6(m -9)= p$

$6m -54= p$

Rearrange:

$p = 6m -54$

Swap the positions of P and m

$m = 6p - 54$

$m(p) = 6p - 54$