Math Problem Statement

f(x)=6x-5 g(x)=-5x+6

Solution

You have two functions given as:

  • f(x)=6x5f(x) = 6x - 5
  • g(x)=5x+6g(x) = -5x + 6

Would you like to:

  1. Evaluate these functions at a specific value of xx?
  2. Find the composition of the functions, such as f(g(x))f(g(x)) or g(f(x))g(f(x))?
  3. Solve for xx when f(x)=g(x)f(x) = g(x)?
  4. Find the inverse of one or both functions?
  5. Explore the graphs of these functions?

Let me know how you'd like to proceed! Here's a tip: The composition of two functions combines their effects—substituting one into the other helps understand how they interact.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions
Function Composition

Formulas

f(x) = 6x - 5
g(x) = -5x + 6
f(g(x)) and g(f(x)) for composition

Theorems

Function Composition Theorem
Equality of Functions

Suitable Grade Level

Grades 9-11