Math Problem Statement

If f(x) = 4x - 12, what is f(2)?

Solution

We are given the function f(x)=4x12f(x) = 4x - 12, and asked to find f(2)f(2).

To solve for f(2)f(2), substitute x=2x = 2 into the function:

f(2)=4(2)12=812=4f(2) = 4(2) - 12 = 8 - 12 = -4

So, the correct answer is A.4\boxed{A. -4}.

Would you like further details or explanations on this?

Here are five related questions:

  1. What is the value of f(3)f(3) for the same function?
  2. If f(x)=4x12f(x) = 4x - 12, what is the inverse function f1(x)f^{-1}(x)?
  3. How do you determine if a function is linear or nonlinear?
  4. What is the slope and y-intercept of the function f(x)=4x12f(x) = 4x - 12?
  5. Can you solve for f(x)=0f(x) = 0 and find the value of xx?

Tip: Always check your substitution carefully when plugging values into a function to avoid small calculation errors.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions
Function Evaluation

Formulas

f(x) = 4x - 12

Theorems

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Suitable Grade Level

Grades 7-8