Multiplying and Composing Functions

The video tutorial covers operations on functions, including subtraction, multiplication using the FOIL method, division, and composition. It begins with subtracting two functions, f and g, and combining like terms. Next, it demonstrates multiplying functions using the FOIL method, followed by dividing one function by another. The tutorial then explains function composition, first with g(f(x)) and then with h(g(x)), showing how to substitute and simplify expressions.

What is the result of subtracting g(x) from f(x) when f(x) = 4x - 3 and g(x) = 7 - x?

• 7x - 3

• 3x + 4

• 5x - 10

• x - 10

When combining like terms after subtracting two functions, what is the coefficient of x?

• 6

• 4

• 7

• 5

What is the constant term after subtracting g(x) from f(x)?

• -10

• -3

• 0

• -7

What is the first step in multiplying h(x) = x^2 - 2x by f(x) = 4x - 3?

• Divide the functions

• Use the FOIL method

• Subtract the functions

• Add the functions

What is the highest degree term when multiplying h(x) by f(x)?

• x^3

• x^2

• x

• x^4

What is the coefficient of x^2 after multiplying h(x) by f(x)?

• -11

• -8

• -3

• 0

What is the result of dividing f(x) = 4x - 3 by g(x) = 7 - x?

• (4x - 3)/(7 - x)

• 4x - 3

• 7 - x

• (7 - x)/(4x - 3)

What is the main operation involved in dividing two functions?

• Addition

• Subtraction

• Multiplication

• Division

What is the expression for g(f(x)) if f(x) = 4x - 3 and g(x) = 7 - x?

• 4x + 3

• 7 - x

• 4x - 3

• 7 - (4x - 3)

What is the simplified form of g(f(x))?

• -4x + 10

• 4x - 10

• 7x + 3

• x - 10