Math Problem Statement

f(x)=−x−1, find f, of, 5f(5)

Solution

To solve f(5)f(5) for the function f(x)=x1f(x) = -x - 1, follow these steps:

  1. Substitute x=5x = 5 into the function: f(5)=51f(5) = -5 - 1

  2. Simplify the expression: f(5)=6f(5) = -6

So, f(5)=6f(5) = -6.

If you need to find the value of 5f(5)5f(5):

  1. Multiply f(5)f(5) by 5: 5f(5)=5(6)=305f(5) = 5(-6) = -30

Therefore, 5f(5)=305f(5) = -30.

Would you like more details or have any questions? Here are some related questions you might find interesting:

  1. How do you find the value of f(x)f(x) for different values of xx?
  2. What is the general approach to evaluating functions?
  3. How would you solve f(x)=x1f(x) = -x - 1 for other values like x=2x = -2?
  4. What is the domain and range of the function f(x)=x1f(x) = -x - 1?
  5. How do you graph the function f(x)=x1f(x) = -x - 1?
  6. What are the properties of linear functions like f(x)=x1f(x) = -x - 1?
  7. How do you find the inverse of the function f(x)=x1f(x) = -x - 1?
  8. What is the effect of multiplying a function by a constant, like 5f(x)5f(x)?

Tip: When dealing with linear functions, remember that the slope indicates how steep the line is, and the y-intercept is where the line crosses the y-axis.

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Math Problem Analysis

Mathematical Concepts

Functions
Linear Equations

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9