Math Problem Statement

Find the value of f(g(3))

Find the value of f(g(3))

Solution

To solve for f(g(3))f(g(3)) using the table provided:

  1. First, find the value of g(3)g(3). Looking at the column for g(x)g(x), when x=3x = 3, we see that g(3)=2g(3) = 2.

  2. Now, substitute this value into the function f(x)f(x). We need to find f(2)f(2). From the column for f(x)f(x), when x=2x = 2, we have f(2)=8f(2) = 8.

Therefore, f(g(3))=f(2)=8f(g(3)) = f(2) = 8.

Let me know if you'd like more details or have any questions!

Related Questions:

  1. What is the value of f(g(1))f(g(1))?
  2. How would you calculate g(f(2))g(f(2))?
  3. What is f(g(4))f(g(4))?
  4. Can you find g(f(3))g(f(3))?
  5. What is the relationship between the functions f(x)f(x) and g(x)g(x)?

Tip:

When working with composite functions like f(g(x))f(g(x)), always find the inner function first, then substitute the result into the outer function.

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Math Problem Analysis

Mathematical Concepts

Composite Functions
Function Evaluation

Formulas

f(g(x)) = f(substitute g(x) result into f(x))

Theorems

Function Composition Theorem

Suitable Grade Level

Grades 8-10