Compose a linear function into a square root function

The video tutorial explains the function G of X and how to evaluate it with different inputs. It introduces the concept of function composition using H of X and discusses the importance of domain restrictions in compositions. The tutorial also covers how to find domain restrictions for radical functions, emphasizing the need to consider the original function's domain when composing functions.

What is the result of evaluating G(5) if G(x) = sqrt(x) - 1?

• 2

• sqrt(5) + 1

• 4

• sqrt(5) - 1

If H(x) = 2x - 2, what is G(H(x)) when G(x) = sqrt(x) - 1?

• sqrt(2x - 3)

• 2x - 3

• sqrt(2x - 2) - 1

• 2x - 1

What is the simplified form of G(H(x)) if H(x) = 2x - 2?

• 2x - 1

• 2x - 4

• 2x - 2

• 2x - 3

How do you determine the domain restriction for a composed function involving a square root?

• Set the radicand not equal to zero

• Set the radicand less than zero

• Set the radicand greater than or equal to zero

• Set the radicand equal to zero

What is the domain of the function G(H(x)) if H(x) = 2x - 2?

• x is less than 3/2

• x is greater than 2

• x is greater than or equal to 3/2

• x is less than or equal to 2