(b) For the functions from part (a) that do have 3 in their domain, find the value of the function at 3. (If 3 is not in the domain, enter UNDEFINED.)

Question

(a) Which of the following functions have 3 in their domain? (Select all that apply.)

h(x) =

x − 6

f(x) = x² − 3x

g(x) = x − 3

x

 

(b) For the functions from part (a) that do have 3 in their domain, find the value of the function at 3. (If 3 is not in the domain, enter UNDEFINED.)

f(x) = x² − 3x

g(x) = x − 3

x

 

h(x) =

x − 6

Answer 1

3 is a domain value, so it's an input, or a value for x. Replace x with 3 for each of these functions and simplify them. Do they all simplify to a number (in which case 3 is in the domain) or something unreal, like the square root of a negative (in which case 3 is not in the domain, so undefined).