If f(x) and f^-1(x) are inverse functions of each other and f(x) = 2x + 5, what is f^-1(8).

Solution:

The function given is

f(x) = 2x + 5

We have to find the inverse

Let us consider f(x) as y

y = 2x + 5

Now replace x to y and y to x

x = 2y + 5

By solving for y and replacing f^-1(x)

2y = x - 5

y = (x - 5)/2

f^-1(x) = (x - 5)/2

We have to find f^-1(8)

f^-1(8) = (8 - 5)/2 = 3/2

Therefore, f^-1(8) = 3/2.

---

If f(x) and f^-1(x) are inverse functions of each other and f(x) = 2x + 5, what is f^-1(8).

Summary:

If f(x) and f^-1(x) are inverse functions of each other and f(x) = 2x + 5, f^-1(8) = 3/2.