Subtracting two functions reciprocal so we can find the domain

The video tutorial covers operations with functions, focusing on adding and subtracting them. It reviews subtracting rational expressions, similar to subtracting fractions, and emphasizes finding the least common denominator (LCD). The tutorial explains simplifying expressions using the distributive property and concludes with finding the domain of a function, highlighting the importance of identifying values that make the denominator zero.

What is the main focus when subtracting two functions?

• Adding the rules of both functions

• Subtracting the rule of one function from the other

• Dividing the rule of one function by the other

• Multiplying the rules of both functions

When subtracting fractions, what must be true about the denominators?

• They must be even numbers

• They must be different

• They must be the same

• They must be prime numbers

What is the least common denominator (LCD) of 1/3 and 1/2?

• 2

• 6

• 12

• 3

How can you find the LCD of two denominators?

• Multiply the two denominators

• Divide the larger denominator by the smaller one

• Subtract the smaller denominator from the larger one

• Add the two denominators

What is the simplified form of -3x - 2x?

• -5x

• 5x

• -1x

• 1x

What values make the denominator equal to zero in the expression (x-3)(x+1)?

• x = 3 and x = -1

• x = 0 and x = 1

• x = -3 and x = 1

• x = 3 and x = 1

What is the domain of the function with the denominator (x-3)(x+1)?

• x cannot be 1

• x cannot be 0

• x cannot be 3 or -1

• All real numbers