Math Problem Statement

Use the following function rule to find f(2). f(x) = 8^x - 2

Solution

To find f(2)f(2) using the given function f(x)=8x2f(x) = 8^x - 2, we substitute x=2x = 2 into the function:

f(2)=822f(2) = 8^2 - 2

Step-by-step calculation:

  1. Square 8:
    82=648^2 = 64

  2. Subtract 2:
    642=6264 - 2 = 62

Final Answer:

f(2)=62f(2) = 62


Would you like a detailed explanation on how substitution works in functions or the steps shown here? Let me know!

Related Questions:

  1. What is f(3)f(3) for the same function f(x)=8x2f(x) = 8^x - 2?
  2. How do you evaluate f(x)=10x+5f(x) = 10^x + 5 when x=3x = 3?
  3. What happens when x=0x = 0 in the function f(x)=8x2f(x) = 8^x - 2?
  4. What is the value of f(1)f(1) for f(x)=8x2f(x) = 8^x - 2?
  5. How would f(x)=2x2f(x) = 2^x - 2 differ from f(x)=8x2f(x) = 8^x - 2?

Tip: When substituting into functions, always replace xx carefully and simplify step-by-step!

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Math Problem Analysis

Mathematical Concepts

Functions
Exponents
Substitution

Formulas

f(x) = a^x - b

Theorems

Substitution in Functions
Exponentiation Rules

Suitable Grade Level

Grades 6-8