Answer to Question #285494 in Discrete Mathematics for SULTAN

Question

A Function f : Z→Z, f(x) = x+5, is invertible since it has the inverse

function g : Z→Z, g(x) = x−5.

Answer 1

Solution:

$f(x)=x+5 \\\ Or\ y=x+5$

Interchange x with y.

$x=y+5$

Now solve for y.

$y=x-5 \\ \therefore f^{-1}(x)=x-5$

Thus, given statement is true.