Question

If f(x) and 1(x) are inverse functions of each other and /(x) = 2x+5 what is f1 (8) ?

Answer 1

To find f(8) when f(x) and g(x) are inverse functions and g(x) = 2x+5, plug 8 into g(x) and then use the inverse function f(x) to find the result, which is 8.

Step-by-step explanation:

If f(x) and g(x) are inverse functions of each other and g(x) = 2x+5, we are looking for the value of f(8).

As inverse functions, f(g(x)) = x and g(f(x)) = x.

To find f(8), we plug 8 into g(x) and then use the inverse function f(x) to get the result.

First, plug 8 into g(x): g(8) = 2(8) + 5 = 16 + 5 = 21.

Then, we use the inverse function f(x) to find f(8): f(21) = 8.