The graph of g(x) is transformed from its parent function, f(x). apply concepts involved in determining the key features of a rational function to determine the domain and range of the function, .

a. what is the domain of the function, g(x)?
b. what is the range of the function, g(x)?

We are given the function:

Domain:

The domain is the set of all possible x-values which will make the function "work", and will output real y-values.

In case of fractions, we must not have the denominator as zero , otherwise the function will become undefined.

So equating denominating equal to zero to find restriction.

x=6

So at x=6 , the function becomes undefined.

So domain is all real numbers except x=6.

Range:

For a fraction, we find domain of inverse function and that gives the range.

replacing g(x) by y

switching y by x and x by y

solving for y,

Now here we find domain of this function.

Again for a fraction denominator cannot be zero

So range is :

g(x) >0 and g(x) <0

8121 because

130,000 divided by 16 is 8121