Math Problem Statement

Diketahui f(x) = x^2 + 5x - 6. Nilai dari f(4) adalah ....

Solution

The problem asks for the value of f(4)f(4) given the function:

f(x)=x2+5x6f(x) = x^2 + 5x - 6

To solve for f(4)f(4), we substitute x=4x = 4 into the function:

f(4)=42+5(4)6f(4) = 4^2 + 5(4) - 6

Now, calculate step by step:

42=164^2 = 16 5(4)=205(4) = 20 f(4)=16+206=366=30f(4) = 16 + 20 - 6 = 36 - 6 = 30

So, f(4)=30f(4) = 30.

The correct answer is B\boxed{B}.

Do you have any questions or want further details?

Here are some related questions you might want to explore:

  1. What is the general form of a quadratic function?
  2. How do you find the vertex of a quadratic function?
  3. What are the roots of the function f(x)=x2+5x6f(x) = x^2 + 5x - 6?
  4. How does the graph of a quadratic function look?
  5. How do we solve quadratic equations using the quadratic formula?

Tip: Always substitute carefully and follow the order of operations when evaluating functions.

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Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Equations
Function Evaluation

Formulas

f(x) = x^2 + 5x - 6

Theorems

Quadratic function evaluation

Suitable Grade Level

Grades 7-9