Math Problem Statement

Given f(x) = -2x - 5, find f(-1).

Solution

The function given is f(x)=2x5f(x) = -2x - 5. You are asked to find f(1)f(-1).

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

f(1)=2(1)5f(-1) = -2(-1) - 5

Simplifying this:

f(1)=25=3f(-1) = 2 - 5 = -3

So, f(1)=3f(-1) = -3.

Would you like further details or have any other questions?

Here are 5 related questions to explore:

  1. What is the general form of a linear function?
  2. How would you find f(2)f(2) for the same function?
  3. How do you interpret the slope and intercept in the function f(x)=2x5f(x) = -2x - 5?
  4. How can you graph f(x)=2x5f(x) = -2x - 5?
  5. What happens if f(x)=0f(x) = 0? How do you solve for xx?

Tip: When evaluating a function, always ensure you're correctly substituting the input value into the expression and simplifying properly!

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Math Problem Analysis

Mathematical Concepts

Linear functions
Substitution

Formulas

f(x) = -2x - 5
f(-1) = -2(-1) - 5

Theorems

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Suitable Grade Level

Grades 6-8