question+ stuck

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.

  1. 👍
  2. 👎
  3. 👁

Respond to this Question

First Name

Your Response

Similar Questions

  1. Science

    The type of graph used to show how a part of something relates to the whole is which of the following? A)circle graph B)bar graph C)line graph D)direct proportion My Choice is A

  2. Pre-calculus

    Describe a function g(x) in terms of f(x) if the graph of g is obtained by reflecting the graph of f about the x-axis and if it is horizontally stretched by a factor of 6 when compared to the graph of f. g(x)=Af(Bx)+C where: A= B=

  3. science

    What type of graph can be used to display qualitative data? Select all that apply. a scatter plot a bar graph a histogram a circle graph A histogram and a bar graph?

  4. Edtech

    Which type of graph best shows a comparison of a part to a whole 1) Bar Graph 2)Line Graph 3)Pie, or Circle, Graph 4)Column Graph

  1. Math Please Help

    The graph above shows the number of students receiving A's in each grade at Bridgeport Middle School. Which statement is true? A: The scale on the first graph does not distort the lengths of the bars. B: The second graph shows

  2. math

    Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x) − 11? answer choices: The graph of y = f(x) will shift up 11 units. The graph of y = f(x) will shift right

  3. college algebra, Please help!!

    Answer the following function. f(x)=2x^2-x-1 A. Is the point (-2,9) on the graph of f? B. If x equals 2, what is fx? What point(S) are on the graph of f? c. if f(x)= -1, what is x? what point(s) are on the graph of f? d. what is

  4. Math

    If the graph of f ′(x) is continuous and decreasing with an x-intercept at x = c, which of the following must be true? The graph of f has a relative maximum at x = c. The graph of f has an inflection point at x = c. The graph of

  1. Algebra

    Below is the graph of a polynomial function f with real coefficients. Use the graph to answer the following questions about f. All local extrema of f are shown in the graph. I really need help with this one but I can't post the

  2. Calculus

    The graph of f ′(x) is continuous and decreasing with an x-intercept at x = 0. Which of the following statements is false? (4 points) The graph of f has an inflection point at x = 0. The graph of f has a relative maximum at x =

  3. Pre-Calc

    1.) Describe how the graphs of f(x) = |2x| and g(x) = -|2x| are related. a.) All of these. b.) The graph of g(x) is a reflection of the graph of f(x) over the y-axis. c.) Non of these. d.) The graph of g(x) is a reflection of the

  4. graphing help?

    Graph ​ g(t)=4sin(3t)+2 ​. Use 3.14 for π . Use the sine tool to graph the function. The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point. How

You can view more similar questions or ask a new question.