h(x) = 22x-7 / 6-42x??????????

Question

HELP!

h(x) = 22x-7
__________
6-42x

calculate the domain for the function of h

Answer 1

aw that's easy

the domain is ALL REAL NUMBERS EXCEPT 1/7

BECAUSE, the denominator cannot equal ZERO, or else, it wouldn't be a function.

6-(42 x 1/7)
6-(42/7)
6-(6)=0

so, all real numbers except for 1/7.

Answer 2

We have a rational function here.

h(x) = (22x - 7)/(6 - 42x)

What is a domain?

The domain of the rational function p(x)/q(x) consists of all points x where q(x) is non-zero.

Let p(x) = your numerator

Let q(x) = your denominator

The domain will be all the numbers that you can substitute for x EXCEPT the value for x that will give you zero in the denominator. Since division by zero does not exist, you CANNOT replace x with a number that will produce zero in the denominator of your rational function.

We have this:

h(x) = (22x - 7)/(6 - 42x)

If you replace x with 1/7 in the denominator, you will
get 6 - 6 = 0 and like I said before, ZERO IN THE DENOMINATOR of any fraction will make the fraction UNDEFINED or does not exist.

Final answer: The domain of your rational function is ALL REAL NUMBERS EXCEPT FOR THE FRACTION 1/7.

Answer 3

Domain = all real numbers except 1/7.
(-infinity, 1/7) U (1/7, +infinity)

Answer 4

i think it goes like this: 22x - 7 = 15x 6 - 42x = -36x
so h = 15x

after that i get lost.......

Answer 5

if you graph it in a graphing calc you will see that it extends for infinity using the vertical line test so the domain is all reals