Math Problem Statement

Given f, of, x, equals, minus, x, minus, 1f(x)=−x−1, find f, of, 1f(1).

Solution

Given the function f(x)=x1f(x) = -x - 1, we are asked to find f(1)f(1).

To do this, substitute x=1x = 1 into the function:

f(1)=(1)1=11=2f(1) = -(1) - 1 = -1 - 1 = -2

So, f(1)=2f(1) = -2.

Would you like further details or have any questions? Here are 5 related questions to consider:

  1. What is f(1)f(-1) for the given function f(x)=x1f(x) = -x - 1?
  2. How would the graph of f(x)=x1f(x) = -x - 1 look?
  3. Can you find f(0)f(0) using the same function?
  4. What happens if you compose the function with itself, i.e., find f(f(x))f(f(x))?
  5. How do you determine the inverse of the function f(x)=x1f(x) = -x - 1?

Tip: When substituting values into a function, ensure to follow the correct order of operations, particularly with negative signs.

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Math Problem Analysis

Mathematical Concepts

Algebra
Functions
Substitution

Formulas

f(x) = -x - 1

Theorems

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Suitable Grade Level

Grades 7-9