Composite Functions

In the composition f(g(x)), what is substituted into f?

• x

• g(x)

• f(x)

• f(g)

What is the simplified composite function for f(g(x))?

• 1/(x-3)

• 2x+4

• 1/(2x+1)

• 1/(2x+4)

What x-value makes the denominator of the composite function zero?

• -1

• 1/2

• -1/2

• 3

 How is the domain of the composite function expressed in interval notation?

• (-∞, -1/2) ∪ (-1/2, ∞)

•  [-∞, -1/2] ∪ [-1/2, ∞]

• (-∞, -1/2] ∪ [-1/2, ∞)

• (-∞, ∞)

Why is -1/2 a restriction for the domain of the composite function?

•  It makes g(x) undefined

• It makes f(x) undefined

• It makes both f(x) and g(x) undefined

•  It results in 3, which is a restriction for f(x)

Why is -1/2 a restriction for the domain of the composite function?

•  It makes g(x) undefined

•  It makes f(x) undefined

• It makes both f(x) and g(x) undefined

• It results in 3, which is a restriction for f(x)