Posted by **bob** on Thursday, September 7, 2006 at 7:07pm.

how is the graph of f(x)= x^2-4x be used to obatin the graph of y=g(x)?

I am stuck and unsure how to get out of this one so can you please help? thanks!

You must define g(x). Is g(x) the inverse function of f(x)?

well the function f(x)= x^2-4x has two zeros x= o and x-4

Yes. True. So what do you mean by g(x). THere has to be some specified relationship between f(x) and g(x).

okay sorry bobpursley there is a more to this questions

so it says :

draw the graphs of f(x) =x^2-4x and

g(x)= 1/ f(x) on the same grid.

I alread did that but does this tie in with the question I am so confused about?

This is the original queston;

how is the graph of f(x)= x^2-4x be used to obatin the graph of y=g(x)?

Using the relation

(1) g(x)= 1/ f(x)

we see that g(x) is the reciprocal of f(x). This should not be confused with the inverse of f(x).

The zeroes or roots of f(x) are 0 and 4. g(x) has vertical asymptotes at those points.

Yes, it does tie in with the original question. If you graph them over each other you'll see that each value of g(x) satisfies the relation (1) you gave above.

## Answer this Question

## Related Questions

- Honors Chemistry - We did a lab in class on Friday where we stuck a metal loop ...
- Math (Geometry) - "The graph shows types of trash in a typical American city. ...
- Algebra 1 - I've been so stuck on this one question :( can somebody help mee ...
- college algebra - Question 638522: Graph the following function using ...
- Algebra-Pleasehelp-I'm so stuck!! - Please help How do you graph the radical ...
- math - graph the equation by plotting the points: 35-5y=0 i know how to put the ...
- Math - graph the data in each table Perimeters of Similar Rectangles x 1 2 3 4 5...
- Math 7A - Use the function rule, y = 2x + 5, to find the values of y when x = 1...
- MATH - I need to simply this equation, but I got stuck. h/(4-sqrt(16+h)) = y ...
- Pre-Calc/Trig... - Stuck on these two questions, help me please. The graph of y=...