How To Evaluate the Domain from the Composition of Two Functions

The video tutorial explains how to evaluate functions and compose them, specifically focusing on f of g of x. It uses examples to demonstrate the process of plugging in one function into another and applying algebraic operations like the distributive property. The tutorial also covers graphing the resulting function and discusses the domain, emphasizing that the domain is all real numbers due to the absence of discontinuities.

What is the process of evaluating f(g(x))?

• Substitute x into g(x) and then into f(x)

• Add f(x) and g(x)

• Substitute g(x) into f(x)

• Multiply f(x) by g(x)

If h(x) = 2x - 1, what is h(g(x)) when g(x) = x - 1?

• 2x - 1

• x - 1

• 2(x - 1) - 1

• 2x - 3

What is the result of applying the distributive property to 3(g(x)) when g(x) = x - 1?

• 3x + 3

• 3x - 1

• 3x - 3

• 3x + 1

What type of graph does the function 3x - 1 represent?

• Linear

• Cubic

• Exponential

• Quadratic

What is the domain of the function 3x - 1?

• x < 0

• x > 0

• x ≠ 0

• All real numbers