Math Problem Statement

If f(x) = -2x - 9 and f(x) , then what is the value of x ?

Solution

It seems like part of your question is missing after "f(x)," but I can help based on the provided information.

If you have f(x)=2x9f(x) = -2x - 9, and you're solving for xx, it depends on what value you have for f(x)f(x). For example, if you're given a specific value for f(x)f(x), say f(x)=0f(x) = 0, you can solve the equation for xx.

For instance, if: f(x)=0then2x9=0f(x) = 0 \quad \text{then} \quad -2x - 9 = 0

  1. Add 9 to both sides: 2x=9-2x = 9

  2. Divide by -2: x=92=4.5x = \frac{9}{-2} = -4.5

Would you like to clarify the missing part of your question, or is this the solution you were looking for?


Relative questions:

  1. What if f(x)=1f(x) = 1? How would you solve for xx?
  2. How would you graph f(x)=2x9f(x) = -2x - 9?
  3. Can you find the x-intercept and y-intercept of this function?
  4. How does changing the slope of the function affect its graph?
  5. What is the domain and range of this linear function?

Tip: Always isolate the variable step-by-step when solving an equation to avoid mistakes.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

f(x) = -2x - 9
Solving linear equations by isolating the variable

Theorems

Inverse operations
Linear function properties

Suitable Grade Level

Grades 8-10