Math Problem Statement

Answer

Let f(x) = 8x - 3. What is f(5)?

Solution

The problem asks for f(5)f(5) where the function is defined as f(x)=8x3f(x) = 8x - 3.

To solve:

  1. Substitute x=5x = 5 into the function: f(5)=8(5)3f(5) = 8(5) - 3
  2. Simplify: f(5)=403=37f(5) = 40 - 3 = 37

Thus, the correct answer is D. 37.

Would you like more details or explanations? Here are 5 related questions to expand on this:

  1. What is the general form of a linear function and its components?
  2. How do you interpret f(x)f(x) in terms of input and output?
  3. What other values of f(x)f(x) can you calculate, such as f(10)f(10)?
  4. How does changing the coefficient (like 88) or the constant (like 3-3) affect the function?
  5. Can you plot f(x)=8x3f(x) = 8x - 3 to visualize it?

Tip: Always check your substitution and arithmetic to avoid small errors!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions
Substitution

Formulas

f(x) = mx + b (Linear Function Formula)

Theorems

Definition of a Function

Suitable Grade Level

Grades 6-8