Math Problem Statement

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

Solution

To find f(2)f(-2) for the function f(x)=3x5f(x) = 3x - 5, substitute x=2x = -2 into the function:

f(2)=3(2)5=65=11f(-2) = 3(-2) - 5 = -6 - 5 = -11

So, f(2)=11f(-2) = -11.

Would you like further details or have any other questions?

Here are five related questions to explore:

  1. What is f(0)f(0) for the function f(x)=3x5f(x) = 3x - 5?
  2. How would you find f(x)f(x) when x=5x = 5?
  3. Can you find the inverse of the function f(x)=3x5f(x) = 3x - 5?
  4. What is the slope of the linear function f(x)=3x5f(x) = 3x - 5?
  5. How does the graph of f(x)=3x5f(x) = 3x - 5 compare to g(x)=3x+2g(x) = 3x + 2?

Tip: When evaluating a function, always substitute the given value directly into the function definition for accuracy.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions

Formulas

f(x) = 3x - 5

Theorems

Linear function evaluation

Suitable Grade Level

Grades 6-8