For the function g(x) = , find (g-1 º g)(5). (1 point) Responses 11 11 5 5 1 1 2

1 answer

The function given is g(x) =

To find (g^-1 o g)(5), we first need to find g^-1(x) by interchanging x and y in the original function and solving for y:

x =
x/2 - 3 = y
g^-1(x) = x/2 - 3

Now, we need to find g(g^-1(5)):
g(g^-1(5)) = g(5/2 - 3)
g(x) =
g(5/2 - 3) = 2(5/2 - 3) + 1 = 5 - 6 + 1 = 0

Therefore, (g^-1 o g)(5) = 0.