Composition of Functions

What is the definition of the composite function (f o g)?

• f(x) * g(x)

• f(g(x))

• g(f(x))

• f(x) + g(x)

What is the process of obtaining a composite function?

• Function addition

• Function subtraction

• Function composition

• Function multiplication

Given f(x) = 4x - 5 and g(x) = x^2 + 4, what is (f o g)(x)?

• 4x^2 + 16

• 4x^2 + 11

• 4x^2 - 5

• 4x^2 + 4

Given f(x) = 4x - 5 and g(x) = x^2 + 4, what is (g o f)(x)?

• 16x^2 - 40x + 25

• 16x^2 - 40x + 29

• 16x^2 + 40x + 29

• 16x^2 + 29

What type of function is F(x) = [x] + 1?

• Linear function

• Quadratic function

• Greatest integer function

• Rational function

What is the simplified form of (q o f)(x) given f(x) = 2x + 1 and q(x) = x^2 - 2x + 2?

• 4x^2 + 4x + 1

• 4x^2 + 1

• (2x + 1)^2 - 2(2x + 1) + 2

• x^2 - 2x + 2

Are you enjoying the video lesson?

• Yes

• No

If f(x) = 2x + 1 and q(x) = x^2 - 2x + 2, what is the value of (q o f)(2)?

• 5

• 17

• 25

• 10

What is the simplified form of (f o r)(x) given f(x) = 2x + 1 and r(x) = (2x+1)/(x-1)?

• (5x+1)/(x-1)

• (4x+2)/(x-1)

• (5x+3)/(x-1)

• (4x+1)/(x-1)

What is the value of (F o r)(5) given F(x) = [|x|] + 1 and r(x) = (2x+1)/(x-1)?

• 2

• 3

• 4

• 5