Math Problem Statement

If f(x) = 2x - 8, what is the value of f(-3)?

Solution

The function given in the image is:

f(x)=2x8f(x) = 2x - 8

We are asked to find the value of f(3)f(-3). To do this, substitute x=3x = -3 into the function:

f(3)=2(3)8f(-3) = 2(-3) - 8

Simplifying:

f(3)=68=14f(-3) = -6 - 8 = -14

Thus, the value of f(3)f(-3) is 14\boxed{-14}.

Would you like a more detailed explanation, or do you have any questions?

Here are some related questions:

  1. What is f(0)f(0) for the same function?
  2. How would you solve for xx if f(x)=0f(x) = 0?
  3. Can you graph f(x)=2x8f(x) = 2x - 8 and identify its slope and y-intercept?
  4. What is the inverse of the function f(x)=2x8f(x) = 2x - 8?
  5. How does changing the coefficient of xx affect the function?

Tip: Always double-check your substitutions when evaluating a function at a specific point to avoid errors.

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Math Problem Analysis

Mathematical Concepts

Algebra
Functions

Formulas

f(x) = 2x - 8

Theorems

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Suitable Grade Level

Grades 6-8