Question

Consider the following function f(x) = 4x + 7. Place the steps for finding f-1(x) in the correct order.

Answer 1

To find the inverse of a function, we can follow these steps: 1) Write the function as y = mx + b. 2) Swap x and y to get x = my + b. 3) Solve for y to get the inverse function. 4) Express the inverse function as f^-1(x).

Step-by-step explanation:

1. Write the given function as y = 4x + 7.
2. Interchange x and y to get x = 4y + 7.
3. Solve the equation for y to obtain the inverse function, y = (x - 7) / 4.
4. Express the inverse function as f^-1(x) = (x - 7) / 4.