# Work all problems and show work

**Question description**

1. State the domain of the following function. h(x)=x^2-3/x.

2. Determine the domains of f and g. f(x)= x^2-36/x+6 g(x)= x-6

3. Determine the domain of f(x)= x^2/ x^2+16

4. Find the zeros (if any) of the rational function. g(x) = x^2-16/x+14

5. Determine the domain of the function f(x)= x^2-25/ x^2 +4x-5

6. Find the domain of the function f(x)= 8/x-6

7. Find the domain of the function and identify any vertical and horizontal asymptotes. f(x)= x+2/ x^2-4

8. Find the domain of the function and identify any vertical and horizontal asymptotes. f(x)=2/(x-5)^3

9. Find the domain of the function and identify any vertical and horizontal asymptotes. F(x) 6x-1/6x^2-x

10.Give the domain of the function and identify any asymptotes.

f(x)= x^2+9x+17/x+7

11.Given f(x)= x^2-3x-1/x-2 determine the equations of any slant and vertical asymptote.

12.Find any vertical and horizontal asymptotes of the function.

h(x)=-1/x+5

13.Determine the equations of the vertical and horizontal asymptotes of the graph of the function f(x)= 2 x^2/ x^2-9

14.Determine the equations of any horizontal and vertical asymptotes of

f(x)= x-1/ x^2+4x-5

15.Determine
the value that the function*f*approaches as the magnitude of*x*increases. f(x)=4-3/x

16.Select the correct graph of the function. f(x)=6/x+3

17.Select the correct graph of the function. f(x)=8/x-5

18.Identify all intercepts of the following function. g(x)= x^2+3/x

19.Select the correct graph of the function f(x)=4-x/x-6

20.The
cost C (in millions of
dollars) of removing P% of
the industrial and municipal pollutants discharged into a river is given by
c=235p/100-p, 0<P<100

Find the costs of removing 55% of the pollutants.(Round your
answer to two decimal places.)

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