Math Problem Statement

f(x)=3x-4 what if f(2/3)

Solution

To find f(23)f\left(\frac{2}{3}\right) for the function f(x)=3x4f(x) = 3x - 4, substitute x=23x = \frac{2}{3} into the function:

f(23)=3(23)4f\left(\frac{2}{3}\right) = 3\left(\frac{2}{3}\right) - 4

Now, simplify:

f(23)=634=24=2f\left(\frac{2}{3}\right) = \frac{6}{3} - 4 = 2 - 4 = -2

So, f(23)=2f\left(\frac{2}{3}\right) = -2.

Would you like more details or have any questions?

Here are five related questions:

  1. What is f(1)f(1) for the function f(x)=3x4f(x) = 3x - 4?
  2. How would you find the inverse of the function f(x)=3x4f(x) = 3x - 4?
  3. What is the slope of the function f(x)=3x4f(x) = 3x - 4?
  4. How does the function change if the constant 4-4 is replaced with +2+2?
  5. What is the value of f(1)f(-1) for the function f(x)=3x4f(x) = 3x - 4?

Tip: When substituting a value into a function, make sure to follow the order of operations to simplify correctly.

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Math Problem Analysis

Mathematical Concepts

Functions
Linear Equations

Formulas

Function notation
Linear equation formula

Theorems

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Suitable Grade Level

Grades 7-9