Math Problem Statement

Evaluate f(2). f(x) = 3x - 1

Solution

The problem asks to evaluate f(2)f(2) for the function f(x)=3x1f(x) = 3x - 1.

To solve this:

  1. Substitute x=2x = 2 into the function f(x)=3x1f(x) = 3x - 1. f(2)=3(2)1f(2) = 3(2) - 1
  2. Simplify: f(2)=61=5f(2) = 6 - 1 = 5

Thus, f(2)=5f(2) = 5. The answer provided in the box is correct.

Would you like further explanation or more examples?

Here are 5 related questions for practice:

  1. Evaluate f(4)f(4) for f(x)=3x1f(x) = 3x - 1.
  2. If f(x)=5x+2f(x) = 5x + 2, find f(3)f(3).
  3. Solve for xx if f(x)=11f(x) = 11 and f(x)=3x1f(x) = 3x - 1.
  4. If f(x)=axbf(x) = ax - b, find f(2)f(2) when a=4a = 4 and b=3b = 3.
  5. Find the derivative of f(x)=3x1f(x) = 3x - 1.

Tip: Always double-check substitution and arithmetic to avoid small mistakes.

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Math Problem Analysis

Mathematical Concepts

Algebra
Functions
Evaluation of Functions

Formulas

f(x) = 3x - 1

Theorems

Substitution principle in functions

Suitable Grade Level

Grades 6-8