How to compose a quadratic into a radical then find the domain

The video tutorial covers function notation and substitution, starting with basic concepts learned in Algebra 1. It explores substituting different inputs into functions, including using G of X, and emphasizes pattern recognition. The tutorial then addresses finding the domain of a function using both algebraic and graphical methods, concluding with simplification steps.

What is the result of F(sqrt(1 + 3)) according to the function notation explained?

• 1

• 3

• 2

• 4

When substituting G(X) into F, what is the key pattern to follow?

• Replace X with a variable

• Replace X with a constant

• Replace X with G(X)

• Replace G(X) with a number

What is the expression for G(X) as defined in the video?

• X^2 + 1

• X + 2

• X + 1

• X^2 - 1

What is the domain of the function X^2 + 4?

• Imaginary numbers

• Real numbers

• Negative numbers

• Positive numbers

Why is the domain of X^2 + 4 all real numbers?

• Because the parabola is always positive

• Because the parabola is always negative

• Because the parabola is sometimes negative

• Because the parabola is sometimes positive