## Math Problem Statement

what is the inverse of $f\left(x\right)=\frac{8x+9}{7x-8}$

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Algebra

Inverse Functions

Rational Functions

### Formulas

Inverse of a function: Swap x and y, solve for y

General form of a rational function: f(x) = \frac{ax + b}{cx + d}

### Theorems

A function is its own inverse if f(f(x)) = x

A one-to-one function has an inverse

### Suitable Grade Level

Grades 10-12

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