2 Answers

Dmcnally · Answer 1 · 2020-02-18T06:39:24+0000

For this case, we have a function of the form:

y = P (m)

Where "y" represents the number of problems completed.

We must find the inverse function of:

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

For this, we perform the following steps:

We change P(m) to y:

$y = \frac {m} {4} +7$

We clear the variable "m":

$y-7 = \frac {m} {4}$

4 (y-7) = m

We change m to
$f ^ {-1} (m)$ :

$4 (y-7) = f ^ {- 1} (m)\\f ^ {- 1} (m) = 4y-28$

Taking into account that "y" represents the number of problems completed, we substitute "y" for "p":

$f ^ {- 1} (m) = 4p-28\\M (p) = 4p-28$

Answer:

Option D

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