Question

let f(x) = 2x +5
find the value of
(f 0 f ^-1) (-1/2

Answer 1

I dont understand the last part what does it say

Answer 2

I think it's f composed of f inverse.

\[(f \circ f^{-1})(-1/2) = f(f^{-1}(-1/2)) =\ ?\]

Answer 3

yea.

Answer 4

which is trivial to answer.

Answer 5

Recall that a function and it's inverse undo each other.

Answer 6

Did you figure it out?

Answer 7

sort of not really. i knoe you plug in 1/2 for the inverse of 2x+5

Answer 8

You really don't need to do anything of the sort.
Recall that \(f(f^{-1}(x)) = x\) and therefore \((f\circ f^{-1})(-1/2) = f(f^{-1}(-1/2)) = -1/2\)

Answer 9

The function and it's inverse undo each other. So whatever the inverse does to -1/2, the function will undo and you'll be right back at -1/2