Math Problem Statement

Solve the given function equations and find the domain, range, or other properties related to one-to-one functions.

Solution

The image is a bit unclear, but I can make out some mathematical expressions and instructions. Here is a basic outline of what seems visible:

  1. There are equations labeled with (a), (b), etc.

    • One of them is f(x)=2x+3f(x) = 2x + 3
    • Another looks like f(x)=2x5f(x) = 2x - 5
  2. There seems to be a question about functions, possibly asking for operations like adding or composing functions.

  3. One of the questions (lower part) seems to ask about finding the range and/or domain of a function, specifically asking about one-to-one functions.

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Math Problem Analysis

Mathematical Concepts

Functions
Linear Equations
One-to-One Functions
Domain
Range

Formulas

f(x) = 2x + 3
f(x) = 2x - 5

Theorems

One-to-One Function Theorem

Suitable Grade Level

Grades 9-12