Math Problem Statement

Use the following function rule to find f(9).

f(x) = –7 − x

f(9) =

Solution

To find f(9)f(9), substitute x=9x = 9 into the function rule f(x)=7xf(x) = -7 - x.

f(9)=79f(9) = -7 - 9

Now, simplify:

f(9)=79=16f(9) = -7 - 9 = -16

So, f(9)=16f(9) = -16.

Would you like any further details or have any questions?

Here are 5 related questions:

  1. What is f(0)f(0) for the function f(x)=7xf(x) = -7 - x?
  2. If f(x)=7xf(x) = -7 - x, what is the inverse of this function?
  3. How does the graph of f(x)=7xf(x) = -7 - x look?
  4. For what value of xx is f(x)=0f(x) = 0?
  5. How would the function change if the rule was f(x)=7+xf(x) = -7 + x?

Tip: For linear functions like f(x)=7xf(x) = -7 - x, the graph will always be a straight line, and the slope is determined by the coefficient of xx.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions

Formulas

f(x) = -7 - x

Theorems

Linear Equation

Suitable Grade Level

Grades 6-8