Question

Find the domain of (f/g) (x), where f and g are the following functions.
f(x)=7x^2+x^4+7 and g(x)=6x-5

Answer 1

answer 1 (-infinity, -6/5) union (-6/5, infinity)

Answer 2

answer 2 (-infinity, 5/6) union (5/6, infinity)

Answer 3

answer 3 (-infinity, 6/5) union (6/5, infinity)

Answer 4

answer 4 (-infinity, 0) union (0, infinity)

Answer 5

answer 5 (-infinity, -5/6) union (-5/6, infinity)

Answer 6

How do I even get an answer like this?

Answer 7

did you type your f(x) correctly?

Answer 8

yes

Answer 9

ok it is answer 2.
6x-5=0
6x=5
x=5/6
This is the x value that it can not be since it would cause a zero on the bottom of the fraction.

Answer 10

so that's all i do in a problem like this?

Answer 11

yes but be careful.
If you had (x^2-9)/(x+3) you would have to factor the top and cancel out (x+3)
example [(x+3)(x-3)]/(x+3) then you are left with (x-3)

Answer 12

i see

Answer 13

thanks :)

Answer 14

Domain is just stating all of the x values a function can have. We also, state values a function can not have. Basically restrictions on x, if any.

Answer 15

ok thanks