Math Problem Statement

f(3)=2(3)-4

Solution

To find the value of f(3)f(3) for the function f(x)=2x4f(x) = 2x - 4:

  1. Substitute x=3x = 3 into the function: f(3)=2(3)4f(3) = 2(3) - 4

  2. Simplify the expression: f(3)=64=2f(3) = 6 - 4 = 2

Therefore, f(3)=2f(3) = 2.

Would you like details or have any questions?

Here are some related questions to expand your understanding:

  1. What is f(5)f(5) for the function f(x)=2x4f(x) = 2x - 4?
  2. How would you find the inverse of the function f(x)=2x4f(x) = 2x - 4?
  3. What is the slope of the function f(x)=2x4f(x) = 2x - 4?
  4. If f(a)=10f(a) = 10, what is the value of aa for the function f(x)=2x4f(x) = 2x - 4?
  5. How would you graph the function f(x)=2x4f(x) = 2x - 4?
  6. What is the y-intercept of the function f(x)=2x4f(x) = 2x - 4?
  7. How does the function f(x)=2x4f(x) = 2x - 4 change if it is transformed to f(x)=2x1f(x) = 2x - 1?
  8. How do you determine if the function f(x)=2x4f(x) = 2x - 4 is increasing or decreasing?

Tip: Always check your work by substituting your answer back into the original equation to verify its accuracy.

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Math Problem Analysis

Mathematical Concepts

Functions
Linear equations

Formulas

Function notation
Linear function formula

Theorems

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Suitable Grade Level

Grades 7-9