Math Problem Statement

f(x) = x2 + 5, find f(2)

Solution

To find f(2)f(2) for the function f(x)=x2+5f(x) = x^2 + 5, follow these steps:

  1. Substitute x=2x = 2 into the function: f(2)=(2)2+5f(2) = (2)^2 + 5

  2. Simplify: f(2)=4+5=9f(2) = 4 + 5 = 9

So, f(2)=9f(2) = 9.

Would you like more details or have any questions?

Here are 5 related questions to expand on this concept:

  1. What is f(3)f(3) for the same function?
  2. How do you find f(x)f(x) for a general quadratic function?
  3. How would the function change if the equation were f(x)=x25f(x) = x^2 - 5?
  4. Can you find the vertex of the function f(x)=x2+5f(x) = x^2 + 5?
  5. How does the graph of f(x)=x2+5f(x) = x^2 + 5 compare to f(x)=x2f(x) = x^2?

Tip: Always substitute the given value directly into the function and simplify step-by-step for clarity.

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Math Problem Analysis

Mathematical Concepts

Algebra
Functions
Substitution

Formulas

f(x) = x^2 + c

Theorems

Basic function substitution

Suitable Grade Level

Grades 6-8