How do I solve and what would the answer be?

Question

asked Apr 16, 2023 7.3k views

1 Answer

Morlock · Answer 1 · 2023-04-22T02:49:52+0000

Given:

The function is given as,

The objective is to find the inverse function.

Step-by-step explanation:

The given expression can be written as,

$y=(2)/(x-5)\text{ . . . . . (1)}$

The inverse of a function can be calculated by interchanging the x and y variables in equation (1).

$x=(2)/(y-5)\text{ . . . . . (2)}$

Now, solve for y in equation (2).

$\begin{gathered} x(y-5)=2 \\ y-5=(2)/(x) \\ y=(2)/(x)+5 \end{gathered}$

Hence, the inverse function is y = (2/x) + 5.