Question

Alex completed 7 homework problems in class. The function p(m) relates the

Answer 1

Hello!

The answer is:

D. $m(p)=4p-28$

Why?

Inversing a function consists of switching the function (name) and the variable, so, where we have the variable (m for this case) we should rewrite it as the function (p(m)), and then, isolate the function in order to know the inverse function.

So, we are given the function:

$p(m)=\frac{m}{4}+7$

We know that:

$p(m)^{-1}=m(p)$

Then, rewriting and calculating, we have:

$p(m)=\frac{m}{4}+7$

$p=\frac{m(p)}{4}+7\\\\p-7=\frac{m(p)}{4}\\\\m(p)=(p-7)*4=4p-28$

Hence, we have that the answer is:

D. $m(p)=4p-28$

Have a nice day!