Given:
The table of values for the function f(x).
To find:
The values and
.
Solution:
From the given table, it is clear that the function f(x) is defined as:
We know that if (a,b) is in the function f(x), then (b,a) must be in the function . So, the inverse function is defined as:
And,
...(i)
Using (i), we get
Now,
Therefore, the required values are and
.
Answer:
A 100 lb person will weight 40 lb on Mars
Step-by-step explanation:
Given:
Weight on Mars directly varies as its weight on earth.
Let weight on Mars be =
Let weight on Earth be =
Its known that:
∝
Thus
where is constant of proportionality.
when , then
thus, we have
dividing both sides by 95.
∴
Thus when ,
would be calculated as
∴ (Answer)
∴ A 100 lb person will weight 40 lb on Mars.