What is the inverse function of

Question

asked Oct 2, 2024 228k views

1 Answer

Peter Wauyo · Answer 1 · 2024-10-08T21:15:29+0000

Answer:

$\sf f^(-1)(x) = -(9)/(2)x$

Explanation:

To find the inverse function of
$\sf f(x) = -(2)/(9)x$ , we can follow these steps:

Replace
$\sf f(x)$ with
$\sf y$ :

$\sf y = -(2)/(9)x$

Swap
$\sf x$ and
$\sf y$ :

$\sf x = -(2)/(9)y$

Solve for
$\sf y$ :

$\sf y = -(9)/(2)x$

So, the inverse function is
$\sf f^(-1)(x) = -(9)/(2)x$ .