Algebra II

Find the difference quotient for the following Rational Function f(x)=5/x using the four steps outlined below.
a. find f(x+h)
b. find f(x)
c. substitute f(x+h) and f(x) into the difference quotient formula.
d. simplify

  1. 👍 0
  2. 👎 0
  3. 👁 204
  1. f(x+h) = 5/(x+h)
    f(x) = 5/x

    [f(x+h) - f(x)]/h = [5x -5(x+h)]/[hx(x+h)]

    = -5 /[x(x+h) }

    = -5/(x^2+hx)

    By the way,
    if you take the limit of that as h--->0
    then you are a calculus student and you just found the derivative
    d/dx (5/x) = -5/x^2

    1. 👍 0
    2. 👎 0
    posted by Damon

Respond to this Question

First Name

Your Response

Similar Questions

  1. Equivalent Algebraic Expressions

    The game shown at the right consists of eight pairs of coloured squares called dominos. Rules: 1. Write a polynomial in each square marked P and a rational function in each square marked R. 2. The expressions you write must

    asked by naz on June 9, 2016
  2. Math

    Jeremy is playing a game called “Rational Round Up” where he has to collect all the numbers in a maze that are rational and then get to the end of the maze. When he collects a number, he must prove it is rational by writing it

    asked by Jake on December 12, 2019
  3. Math

    Jeremy is playing a game called “Rational Round Up” where he has to collect all the numbers in a maze that are rational and then get to the end of the maze. When he collects a number, he must prove it is rational by writing it

    asked by Finn on December 12, 2019
  4. Algebra

    That is not what the ? is asking. The ? is asking about how to get the quotient function, not the composite as you solved for. Can you please show us how to get the quotient function solution? Thanks! I need to find the Quotient

    asked by Rachale on June 14, 2009
  5. Math-Help asap please~

    For each function, the point given is the maximum or minimum. Use the difference quotient to verify that the slope of the tangent at this point is zero. a) f(x) = 0.5x^2 + 6x + 7.5; (-6, -10.5) Difference quotient is f(a + h) -

    asked by Jay on December 1, 2011
  1. Algebra

    Divide the rational expression. Express the quotient as a rational expression in lowest terms. (x^2+10x+21)/(x^2+11x+28) ÷ (x^2+3x)/(x^2+11x+28) (i really need to know the steps on how to do this (please just don't give me the

    asked by Julie on July 8, 2010
  2. Calculus Help

    Use f(x)= 1/(square root(x)+1) to answer the following; -- Use the difference quotient f'(x)=lim z->x (f(x)-f(z))/ (x-z) to find f'(x)! Please show steps!!! Thank you!!!

    asked by Mello on February 28, 2014
  3. pre calc

    I have a few problems from my homework that I am having trouble with. #1 Find the difference quotient of f foreach function f(x)=1/(x+3) I got -2x+6 #2 Express the area of an isosceles right triangle as a function of the length x

    asked by Rebekah on August 30, 2012
  4. math

    using the 7 steps outlined in sec 4.3 of your book,analyze the graph of the following function R(x)=x^3-125/x^2-49

    asked by mercedes on March 12, 2013
  5. Calculus

    Given: F(x)= 5x^2 a) find a simplified form of the difference quotient b) find the average rate of change (difference quotient)x=4, h=2 Please help... http://www.mathwords.com/d/difference_quotient.htm Ok I went to this site and I

    asked by Dee on February 9, 2007

More Similar Questions