what is the invers of f(x+3) = x+5/x-2 ,x=/2

only give me the answers and how to get it, and make sure that it's right

To find the inverse of the function \( f(x+3) = \frac{x+5}{x-2} \), follow these steps:

### Step 1: Replace \( f(x+3) \) with \( y \)
\[
y = \frac{x+5}{x-2}
\]

### Step 2: Solve for \( x \) in terms of \( y \)
Multiply both sides by \( (x-2) \) to get rid of the denominator:
\[
y(x - 2) = x + 5
\]
Expand the left-hand side:
\[
yx - 2y = x +

What is the inverse of f(x+3) = (x+5)/(x-2), x ≠ 2?

Learn how to find the inverse of the rational function f(x+3) = (x+5)/(x-2), with detailed steps including cross-multiplication and solving for x. This algebra problem is ideal for students in Grades 10-12 looking to understand inverse functions and rational expressions.

Math Problem Statement

Solution

Step 1: Replace $f(x+3)$ with $y$

Step 2: Solve for $x$ in terms of $y$

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