Math Problem Statement

Evaluate š‘” ( š‘„ )

š‘„ 2 + 4 g(x)=x 2 +4 when g(3) and g(0).

Solution

Let's evaluate the function g(x)=x2+4g(x) = x^2 + 4 for g(3)g(3) and g(0)g(0).

  1. Evaluate g(3)g(3): g(3)=32+4=9+4=13g(3) = 3^2 + 4 = 9 + 4 = 13

  2. Evaluate g(0)g(0): g(0)=02+4=0+4=4g(0) = 0^2 + 4 = 0 + 4 = 4

So, g(3)=13g(3) = 13 and g(0)=4g(0) = 4.

Would you like further details or have any questions?

Here are 5 related questions you might consider:

  1. What is g(āˆ’2)g(-2) for the same function?
  2. How does the graph of g(x)=x2+4g(x) = x^2 + 4 look like?
  3. What is the vertex of the parabola represented by g(x)=x2+4g(x) = x^2 + 4?
  4. How does g(x)=x2+4g(x) = x^2 + 4 compare to g(x)=x2g(x) = x^2?
  5. What are the roots of g(x)=0g(x) = 0?

Tip: Always substitute the value into the function carefully, especially for negative numbers, to avoid errors.

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Math Problem Analysis

Mathematical Concepts

Function evaluation
Quadratic functions

Formulas

Quadratic function formula g(x) = x^2 + 4

Theorems

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Suitable Grade Level

Grades 7-9