Determine k(8) if k(x)=x^2+√((x)/(2))-21.

Name: Problem 91, Chapter 7: Intermediate Algebra for College Students
Uploaded: 2020-06-27T17:32:06-08:00
Duration: 41 s
Channel: Amy Jiang
Description: Determine k(8) if k(x)=x^2+√((x)/(2))-21.

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Key Concepts

Properties of Square Roots

Understanding the properties of square roots is essential for simplifying expressions that contain radicals. This includes knowing how to evaluate square roots of numbers or expressions after appropriate arithmetic manipulation and ensuring the input to the square root is non-negative.

Order of Operations

The order of operations is the set of rules that dictates the sequence in which operations must be performed in an expression. This ensures that calculations are done correctly and consistently, particularly when dealing with multiple operations such as exponents, radicals, multiplication, addition, and subtraction.

Function Evaluation

This concept involves determining the value of a function at a specific input value. It requires substituting the given input into the functional expression and then simplifying the result through appropriate arithmetic operations.

Substitution

Substitution is the process of replacing the variable in the function’s expression with a specific value. This technique is foundational in algebra and is used to evaluate functions or solve equations.

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