Assuming you want the inverse of f(x)=x²-2,
f(x)=x²-2
repalce f(x) with y
y=x²-2
switch x and y
x=y²-2
solve for y
x=y²-2
x+2=y²
√(x+2)=y
replace y with f⁻¹(x)
f⁻¹(x)=√(x+2)
the inverse is √(x+2)
Answer: 6 years old.
Step-by-step explanation:
For this exercise let "x" represents your present age.
According to the information provided in the exercise, you know that In three years, Chad will be three times your present age.
Then, your age in three years can be represented with the following expression:

Knowing at that time Chad's age will be three times yours and you will be half as old as old as Chad, you can write the following equation to represent this situation:

Therefore, the final step is to solve for "x" in order to find its value.
You get that this is:

The consecutive numbers are 25,26,27
The key concept you must have to remember is that, the rate is kept constant, as what is specified in the problem. Our basis for the rate is the first situation.
Rate = 20 facts/ 1 min.
Let's equate this to the second situation using x as the time unknown.
20/1 = 35/x
Solving for x,
<em>x = 1.75 minutes</em>