Math Problem Statement

The function f is defined by the equation f(x) = 7x + 2. What is the value of f(x) when x = 4?

Solution

The given function is f(x)=7x+2f(x) = 7x + 2.

You are asked to find the value of f(x)f(x) when x=4x = 4.

To do this, substitute x=4x = 4 into the function:

f(4)=7(4)+2f(4) = 7(4) + 2

f(4)=28+2=30f(4) = 28 + 2 = 30

Thus, the value of f(x)f(x) when x=4x = 4 is 30.

Would you like more details or have any other questions?

Here are 5 related questions to expand your understanding:

  1. What is the general process for evaluating a function at a given xx-value?
  2. How does the slope 77 in the equation f(x)=7x+2f(x) = 7x + 2 affect the graph of the function?
  3. What is the value of f(x)f(x) when x=1x = -1 for the same function?
  4. Can you determine the inverse of the function f(x)=7x+2f(x) = 7x + 2?
  5. How would you graph the linear function f(x)=7x+2f(x) = 7x + 2?

Tip: For linear functions like f(x)=7x+2f(x) = 7x + 2, the coefficient of xx (in this case, 7) represents the slope, and the constant term (2) represents the y-intercept.

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Math Problem Analysis

Mathematical Concepts

Linear Functions
Algebra

Formulas

f(x) = mx + b, where m is the slope and b is the y-intercept

Theorems

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Suitable Grade Level

Grades 6-8