Math Problem Statement

find the zeros of f(x)=4x-9

Solution

To find the zeros of the function f(x)=4x9f(x) = 4x - 9, we need to solve the equation f(x)=0f(x) = 0.

4x9=04x - 9 = 0

To solve for xx, follow these steps:

  1. Add 9 to both sides of the equation: 4x=94x = 9

  2. Divide both sides by 4: x=94x = \frac{9}{4}

So, the zero of the function f(x)=4x9f(x) = 4x - 9 is x=94x = \frac{9}{4} or x=2.25x = 2.25.

Would you like any additional details or have any questions?

Here are 5 related questions you might be interested in:

  1. How do you find the zeros of a quadratic function?
  2. What are the steps to solve a linear equation?
  3. How can you determine if a function has no real zeros?
  4. What is the significance of the zeros of a function?
  5. How do you graph a linear function and identify its zeros?

Tip: When solving for the zeros of a function, you're finding the points where the graph intersects the x-axis.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Roots of Equations

Formulas

Linear equation formula ax + b = 0

Theorems

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Suitable Grade Level

Grades 7-9