Math Problem Statement

f(x) = 5x - 9; x = 4

Solution

The expression given is:

f(x)=5x9;x=4f(x) = 5x - 9; \, x = 4

To find f(4)f(4), we substitute x=4x = 4 into the equation.

f(4)=5(4)9f(4) = 5(4) - 9 f(4)=209f(4) = 20 - 9 f(4)=11f(4) = 11

Thus, f(4)=11f(4) = 11.

Would you like any additional details, or do you have any questions about this solution?

Here are 5 related questions for further exploration:

  1. What is the slope of the function f(x)=5x9f(x) = 5x - 9?
  2. How would the value of f(x)f(x) change if x=6x = 6?
  3. What does the graph of f(x)=5x9f(x) = 5x - 9 look like?
  4. Can you find the x-intercept of the function f(x)=5x9f(x) = 5x - 9?
  5. What would be the inverse of the function f(x)=5x9f(x) = 5x - 9?

Tip: For any linear function in the form f(x)=ax+bf(x) = ax + b, the slope is aa, and the y-intercept is bb.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Function Evaluation

Formulas

f(x) = ax + b

Theorems

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Suitable Grade Level

Grades 6-8