Answer:
a. To find the inverse of the function c = w + 3, we can follow the steps below:
Step 1: Replace c with y.
y = w + 3
Step 2: Swap the positions of w and y.
w = y + 3
Step 3: Solve for y.
y = w - 3
Therefore, the inverse function is w = y - 3.
b. To find the inverse of the function y = x - 2, we can follow the steps below:
Step 1: Replace y with f(x).
f(x) = x - 2
Step 2: Swap the positions of x and f(x).
x = f(x) - 2
Step 3: Solve for f(x).
f(x) = x + 2
Therefore, the inverse function is f(x) = x + 2.
c. To find the inverse of the function y = 5x, we can follow the steps below:
Step 1: Replace y with f(x).
f(x) = 5x
Step 2: Swap the positions of x and f(x).
x = 5f(x)
Step 3: Solve for f(x).
f(x) = x/5
Therefore, the inverse function is f(x) = x/5.
d. To find the inverse of the function w = D/7, we can follow the steps below:
Step 1: Replace w with f(D).
f(D) = D/7
Step 2: Swap the positions of D and f(D).
D = f(D)/7
Step 3: Solve for f(D).
f(D) = 7D
Therefore, the inverse function is f(D) = 7D.