Question

Using interval notation, identify the domain for the function: f(x) = (2x+1)/(x-4)

Answer 1

you cannot divide by zero

so x-4 cannot be zero

which means x cannot be equal to _____ (fill in the blank)

Answer 2

x cannot be equal to 4?

Answer 3

good

Answer 4

that means that any number but 4 is allowed in the domain

Answer 5

so how would you represent that in interval notation?

Answer 6

im not sure

Answer 7

well what you do is start with the real number line (-infinity, infinity)

then you poke a whole in the real number line at 4 to get this final answer

(-infinity, 4) U (4, infinity)

Answer 8

(-infinity, 4) U (4, infinity) says that you include every number but 4 in the domain

Answer 9

Ok that makes sense. Thanks

Answer 10

you're welcome