Question

Inverse problem

Answer 1

If \[f ^{-1}\] is the inverse of f, determine the value of \[f(f ^{-1}(-3))\]

Answer 2

let say \[f^{-1}(-3)=a\\then\\f(a)=-3
\\so\\f(f^{-1}(-3))=f(a)=-3\]

Answer 3

okay

Answer 4

is the answer -3?

Answer 5

which part do you not understand?

Answer 6

is -3 the answer?

Answer 7

if f(a) = =b
then f^-1(b) = a
so
f(f^(-1)(b)) = f(a) = b

Answer 8

yes

Answer 9

but if you dont understand why, its not going to get any easier.

Answer 10

an inverse undoes what the function does, and vice versa
so if we do something with the inverse, and then undo that, we are back to where we started

Answer 11

can I show you my answer choices?

Answer 12

1. Need to know f
2. f(f^(-1)-3) = 1/3
3. f(f^(-1)-3) = 1/9
4. f(f^(-1)-3) = 3
5. f(f^(-1)-3) = 9

Answer 13

the answer is above

Answer 14

none of these make sense....
\[f(f^{-1}(x))=x=f^{-1}(f(x))\]

Answer 15

i think there is a typo in the answers
all of them should be \(f(f^{-1}(-3))\)

Answer 16

ooh i see, none are there...

Answer 17

yeah, maybe another typo...

Answer 18

f(f−1(−3)) that's what I meant to write

Answer 19

the answers are wrong, it should be -3

Answer 20

so would it be 1. Need to know f?

Answer 21

no

Answer 22

we dont need to know f
if we know f inverse exists
then f(f inverse of x)= x