Question

find the inverse of the one to one funtion

Answer 1

\[f(x)=8/(5x+3)\]

Answer 2

let f(x) = y = 8/(5x+3)
y(5x+3) = 8
5x+3 = 8/y
find x in terms of y
then replace x by the inverse function f(-1) x and y by x

Answer 3

so ould the answer b \[f^{-1} =8/(5x)-3/5\] be the anwser

Answer 4

Simply swap out \(x\leftrightarrow f^{-1}(x)\) and \(f(x)\leftrightarrow x\) and solve for \(f^{-1}(x)\).

Answer 5

Also, just as a sidenote, this function is not one-to-one, as there is no \(x\) value that satisfies \(f(x)=0\).

Answer 6

(It does, however, have an inverse.)