Math Problem Statement

Given f(x) = 3x - 7, evaluate f(-6) =.

Solution

To evaluate f(6)f(-6) for the function f(x)=3x7f(x) = 3x - 7, substitute 6-6 for xx in the function:

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

Now, calculate the expression:

f(6)=187=25f(-6) = -18 - 7 = -25

So, f(6)=25f(-6) = -25.

Would you like more details or have any questions about this problem?

Here are 5 related questions you might find interesting:

  1. Evaluate f(0)f(0) for the function f(x)=3x7f(x) = 3x - 7.
  2. Find the value of xx for which f(x)=0f(x) = 0 when f(x)=3x7f(x) = 3x - 7.
  3. Determine f(10)f(10) if f(x)=3x7f(x) = 3x - 7.
  4. What is the slope of the line represented by the function f(x)=3x7f(x) = 3x - 7?
  5. How would you find f(a)f(a) if f(x)=3x7f(x) = 3x - 7 for a general aa?

Tip: To find the output of a function for a given input, substitute the input value into the function and simplify the expression.

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Math Problem Analysis

Mathematical Concepts

Functions
Linear Equations

Formulas

Function evaluation

Theorems

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Suitable Grade Level

Grades 7-9