Question

if g^-1(x) is the inverse of g(x) what is the value of g^-1(g(x))

Answer 1

let's use an example g(x)=x-2
y=x-2
x=y-2
y=x+2

so g(x) = x-2
\(g^{-1}(x)\)=x+2

\(g^{-1}(g(x))=(x-2)+2=x\)

Answer 2

basically, whenever you pass the original to the inverse, you'll get x. that's the point of it being the inverse.

it's like addition/subtraction and multiplication/division

Answer 3

so it would be x then?

Answer 4

@bibby

Answer 5

yeah, probably, maybe

Answer 6

for reference, \(g^{-1}(g(x))=g(g^{-1}(x))=x\)

Answer 7

thanks @bibby

Answer 8

any time :D