Question

F (x) = 8x + 7. Find the inverse of f(x).

O A. f¹(x) = 7 - 8x
O B. f¹(x) = 8x - 7
O c. f¹(x) = 278
x-8
O D. f-¹(x) = 2=7
8

Answer 1

The inverse of the function f(x) = 8x + 7 is found by switching x and f(x) and solving for the new x, resulting in the inverse function f⁻¹(x) = (x - 7) / 8.

Step-by-step explanation:

To find the inverse of the function f(x) = 8x + 7, you need to follow a set of steps. The basic idea is to switch the roles of x and f(x), and then solve for the new x, which becomes f⁻¹(x). Here are the step-by-step instructions:

1. Replace f(x) with y: y = 8x + 7.
2. Switch x and y: x = 8y + 7.
3. Solve for y: y = (x - 7) / 8.

So the inverse function is f⁻¹(x) = (x - 7) / 8, which corresponds to option C after properly formatting the fraction.