Thread: question 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

Hint: f(x + c) = f(h(x)) for h = x + c, and f^{-1} = (f(h))^{-1} = h^{-1}(f^{-1}).

Hello b0mb3rz

Originally Posted by b0mb3rz

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

Suppose that . Then











Do the second part in a similar way, starting with , and so

Grandad