Math Problem Statement

f(-3)=6-7x

Solution

The function you provided is:

f(3)=67xf(-3) = 6 - 7x

This means that when the input is x=3x = -3, the output of the function is:

f(3)=67(3)f(-3) = 6 - 7(-3)

Now, I'll calculate this expression.

f(3)=6+21=27f(-3) = 6 + 21 = 27

Thus, the output is f(3)=27f(-3) = 27.

Would you like more details or have any questions?

Here are five related questions to expand your understanding:

  1. What is f(x)f(x) if f(x)=67xf(x) = 6 - 7x?
  2. How do you find the value of a function for a given input?
  3. Can you graph the function f(x)=67xf(x) = 6 - 7x?
  4. How do you solve f(x)=0f(x) = 0 for f(x)=67xf(x) = 6 - 7x?
  5. What is the slope of the line represented by f(x)=67xf(x) = 6 - 7x?

Tip: When plugging negative numbers into functions, remember to pay attention to the signs when multiplying!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions
Substitution

Formulas

f(x) = 6 - 7x

Theorems

Linear equation

Suitable Grade Level

Grades 7-9