Math Problem Statement

Evaluate each function: f(x) = -8x - 9 ; find f(-3)

Solution

To evaluate the function f(x)=8x9f(x) = -8x - 9 at x=3x = -3, substitute 3-3 for xx in the function:

f(3)=8(3)9f(-3) = -8(-3) - 9

Now, calculate step by step:

f(3)=249=15f(-3) = 24 - 9 = 15

So, f(3)=15f(-3) = 15.

Would you like more details, or do you have any questions?

Here are some related questions for further practice:

  1. Evaluate f(2)f(2) for the same function f(x)=8x9f(x) = -8x - 9.
  2. Find the value of f(0)f(0).
  3. If f(x)=8x9f(x) = -8x - 9, what value of xx makes f(x)=0f(x) = 0?
  4. Evaluate the derivative of f(x)=8x9f(x) = -8x - 9.
  5. If g(x)=5x+4g(x) = 5x + 4, find f(g(1))f(g(1)).

Tip: Always substitute the given value carefully to avoid sign errors when evaluating functions.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Linear functions
Function evaluation

Formulas

Function evaluation formula f(x) = ax + b

Theorems

-

Suitable Grade Level

Grades 7-9