Question

b. find the inverse function.
c(n) = 50 + 4n

Explanation:

Step1: Swap variables

Let \( c(n) = y = 50 + 4n \). Swap \( n \) and \( y \): \( n = 50 + 4y \).

Step2: Solve for \( y \)

Subtract 50 from both sides: \( n - 50 = 4y \).
Divide both sides by 4: \( y=\frac{n - 50}{4}\).

Step3: Write inverse function

The inverse function \( c^{-1}(n)=\frac{n - 50}{4}\) or \( c^{-1}(n)=\frac{1}{4}n-\frac{25}{2}\).

Answer:

The inverse function is \( c^{-1}(n)=\frac{n - 50}{4} \) (or \( c^{-1}(n)=\frac{1}{4}n - \frac{25}{2} \))