⇒ 
Detailed breakdown:
In math, an inverse function acts as a "reverse" to another function: if f applied to x yields y, then g applied to y gives back x, meaning f(x) = y if and only if g = x.
In this case, we define h(x) as the inverse of f(x). We need to discover the value of h(f(x)). Let's explore this:
Let the inverse of 
= 
, but as per the question, it corresponds to h(x) or 
. Now,
⇒
By substituting f(x) into x at h(x), i.e.
⇒ 
The multiplication of 
and 
equals 1,
⇒
Thus, ⇒ .
Answer:
sin22°
Step-by-step explanation:
By applying the cofunction identity
cos x = sin (90 - x), we get:
cos68° = sin(90 - 68)° = sin22°
According to the table, a total of 158 students were surveyed (we can confirm this by either adding the total for upperclassmen or the total for those employed or not, which is displayed at the lower right corner of the table in the provided figure).
Remember that:
In the chart, each term is visually distinguished by a different color. To transform these figures into their corresponding probabilities, we must divide each by the overall student count. This is because the probability is determined by the count of favorable outcomes (in this case, a group fitting specified criteria) divided by the total count of outcomes (the overall number of participants surveyed). The answer can be found in the figure. For the intersection we are seeking, we need individuals who are both underclassmen and employed.
