If P(400)=900 Rewrite this Equation in terms of p^-1
By definition of the inverse,
if y0=P(x0), then P-1(y0)=x0
Do you now see the parallel with your question?
You can also read more about inverse functions here:
http://en.wikipedia.org/wiki/Inverse_function
To rewrite the equation P(400) = 900 in terms of P^(-1), we need to find the inverse function of P(x). The inverse function of P(x) is denoted as P^(-1)(x) and is defined as the function that undoes the effect of P(x).
To find the inverse function, follow these steps:
Step 1: Let y = P(x) and swap x and y.
x = P^(-1)(y)
Step 2: Solve the equation for y.
y = P^(-1)(x)
Now we can rewrite the equation P(400) = 900 in terms of P^(-1):
Given: P(400) = 900
Step 1: Let y = 400 and x = 900.
400 = P^(-1)(900)
Step 2: Rearrange the equation to get P^(-1)(900) = 400.
P^(-1)(900) = 400
Therefore, the equation rewritten in terms of P^(-1) is P^(-1)(900) = 400.