suppose f: R-->R is invertible and C Є R is a constant

find an expression for the inverse of g(x) = f(x+c) in terms of f^-1

and if c is not equal to 0 than find an expression for the inverse of h(x) =f(cx) in terms of f^-1

thanks

Printable View

- Mar 25th 2009, 05:11 AMb0mb3rzquestion on inverses
suppose f: R-->R is invertible and C Є R is a constant

find an expression for the inverse of g(x) = f(x+c) in terms of f^-1

and if c is not equal to 0 than find an expression for the inverse of h(x) =f(cx) in terms of f^-1

thanks - Mar 25th 2009, 08:47 AMstapel
Hint: f(x + c) = f(h(x)) for h = x + c, and f^{-1} = (f(h))^{-1} = h^{-1}(f^{-1}).

(Wink) - Mar 25th 2009, 08:56 AMGrandadInverse functions