Math Problem Statement

  1. f(x) = 3x +2

g(x)=x-4

Solution

You’ve provided two functions:

  1. f(x)=3x+2f(x) = 3x + 2
  2. g(x)=x4g(x) = x - 4

Here’s what you can do with these functions:

1. Evaluating Functions

  • Find the value of f(x)f(x) and g(x)g(x) for specific values of xx.

2. Function Composition

  • You can compose these functions, for example:
    • (fg)(x)=f(g(x))(f \circ g)(x) = f(g(x))
    • (gf)(x)=g(f(x))(g \circ f)(x) = g(f(x))

3. Finding Inverses

  • Find the inverse functions f1(x)f^{-1}(x) and g1(x)g^{-1}(x) if they exist.

4. Solving Equations

  • Solve for xx when f(x)=g(x)f(x) = g(x).

Please let me know which operation you'd like to perform!

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Math Problem Analysis

Mathematical Concepts

Functions
Function Composition
Inverse Functions
Equations

Formulas

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Theorems

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Suitable Grade Level

Grades 9-12