2.4 Operations with Functions

Question 1

What is another way to write

Answer 1

Question 2

What is another way to write

Answer 2

Question 3

What is another way to write

Answer 3

Question 4

What is another way to write

Answer 4

Question 5

What is the difference between

Answer 5

the first is a multiplication problem
the second is a composition problem

Question 6

If there is an even root with a variable in the radicand within the problem, what is the domain rule?

Answer 6

Set the radicand greater than or equal to zero and solve.

Question 7

If there is a denominator with a variable, what is the domain rule?

Answer 7

Set the denominator not equal to zero and solve.

Question 8

If there is an even root with a variable in the denominator, what is the domain rule?

Answer 8

Set the radicand > 0 and solve.

Question 9

the mathematical operation where you combine two functions to create a new function by applying one function to the output of the other function; essentially, “plugging” one function into the other to generate a new result, often denoted by the symbol “∘” (circle) and written as (f ∘ g)(x) which means “f of g of x” where g is applied first, then f is applied to the result of g

Answer 9

composition of a function