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:
The model swing should be <u>2.75 cm</u> high.
Step-by-step explanation:
Given:
A 168-cm tall person is 2 cm in Ming’s model.
If the actual swing is 231 cm high.
Now, to find how high should his model swing be.
Let the model swing be 
So, 168 cm tall person is equivalent to 2 cm.
Thus, 231 cm actual swing is equivalent to
model swing.
Now, we get the height of the swing in the model by using cross multiplication method:

<em>By cross multiplication:</em>
⇒ 
<em>Dividing both sides by 168 we get:</em>
⇒ 
Therefore, the model swing should be 2.75 cm high.
The number (x) that is (=) 10 less than (-) 6
x = 6 - 10 Subtract
x = -4
Greetings!
"<span>What is the general process for solving an equation with one variable?"...
Typically when solving an equation with one variable, your objective is to
isolate the variable on one side of the equation. This can be done adding/subtracting number to cancel them out on one side. You can also multiply/divide coefficients in order to isolate a variable.
Example:</span>

<span>Add
-4 to both sides to isolate the variable.
</span>

<span>
Simplify.
</span>

Divide both sides by
2 to isolate the variable on one side.


Hope this helps.
-Benjamin