Evaluate the Composition of Two Functions, Radical and Rational

The video tutorial explains the process of evaluating the composition of functions, specifically F of G of two. It begins by introducing the concept of function composition and then moves on to evaluate G of X. The tutorial provides a detailed calculation of G of two, which is 1/2, and concludes with the evaluation of F of G of two using the function F of X, which is the square root of X minus one.

What is the first step in evaluating the composition F(G(2))?

• Evaluate F(x) at x=2

• Evaluate G(x) at x=2

• Find the domain of F(x)

• Find the domain of G(x)

If G(x) is 1/x, what is G(2)?

• 0

• 1

• 1/2

• 2

What is the next step after finding G(2) in the composition F(G(2))?

• Find the derivative of G(x)

• Evaluate F(x) at x=G(2)

• Evaluate G(x) at x=F(2)

• Find the derivative of F(x)

What is the formula for F(x) given in the tutorial?

• sqrt(x) - 1

• x^2 - 1

• 1/x

• x + 1

What is the result of F(1/2) using the function F(x) = sqrt(x) - 1?

• 1

• 0

• -1

• sqrt(1/2) - 1