Math Problem Statement

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

Solution

Given the function f(x)=2x4f(x) = 2x - 4, we need to find f(43)f\left( \frac{4}{3} \right).

To do this, substitute x=43x = \frac{4}{3} into the function:

f(43)=2(43)4f\left( \frac{4}{3} \right) = 2\left( \frac{4}{3} \right) - 4

=834= \frac{8}{3} - 4

Convert 4 into a fraction with denominator 3:

=83123= \frac{8}{3} - \frac{12}{3}

Now subtract:

=8123=43= \frac{8 - 12}{3} = \frac{-4}{3}

Thus, f(43)=43f\left( \frac{4}{3} \right) = \frac{-4}{3}.

Would you like more details or have any questions?

Here are 5 related questions:

  1. What is the slope of the linear function f(x)=2x4f(x) = 2x - 4?
  2. How would you find the x-intercept of the function f(x)=2x4f(x) = 2x - 4?
  3. What is f(0)f(0) for the function f(x)=2x4f(x) = 2x - 4?
  4. If f(x)=2x4f(x) = 2x - 4, for which value of xx does f(x)=0f(x) = 0?
  5. How do you graph the function f(x)=2x4f(x) = 2x - 4?

Tip: For linear functions like f(x)=2x4f(x) = 2x - 4, the slope is constant and gives the rate of change.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions

Formulas

f(x) = 2x - 4

Theorems

Linear Equation Solving

Suitable Grade Level

Grades 6-8