Question

Select the correct answer.

Find the inverse of function f.
f(x) = x + 7
O A.
O B.
O C.
c.
O D.
f¹(x) = x - 7
f¹(x) = 2x - 7
f¹(x) = 2x 14
f¹(x) = 2x
= 2x + =
17

Answer 1

To find the inverse of the function f(x) = x + 7, one must switch x and f(x) and solve for the new f(x), resulting in the inverse function f¹(x) = x - 7.

Step-by-step explanation:

The question involves finding the inverse of a linear function. The original function given is f(x) = x + 7. To find the inverse, you swap the x and f(x) and solve for the new f(x). Therefore, the inverse function, denoted as f¹(x), is found through the following steps:

• Swap x and f(x): x = f¹(x) + 7
• Solve for f¹(x): f¹(x) = x - 7

Thus, the correct inverse function is f¹(x) = x - 7.