Answer:
60
Step-by-step explanation:
The function provided is:
The average rate of change of h(t) as time goes from t=a to t=b is expressed as:
This function can be reformulated as:
The rocket's peak height is 231, which occurs at t=3.75 seconds.
The initial launch happens at: t=0
and
The average rate of change from launch to max height is
⇒
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, ⇒
.