college algebra

posted by .

for the function f(x)=7/x+6, find the average rate of change of f from 1 to x.

  • college algebra -

    f(x) - f(1)
    ------------
    x-1

    7/(x+6) - 1
    -------------
    x-1

    7 - (x+6)
    -----------
    (x-1)(x+6)

    1-x
    --------------
    (x-1)(x+6)

    -1/(x+6)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calulus

    Consider the following function. f(t) = 3t2 − 3 (a) Find the average rate of change of the function below over the interval [3, 3.1]. (b) Compare this average rate of change with the instantaneous rates of change at the endpoints …
  2. college algebra

    A function is given. Determine the average rate of change of the function between the given values of the variable. f(t) = 6/t ; t = a, t = a + h
  3. college algebra

    A function is given. Determine the average rate of change of the function between the given values of the variable. f(x) = 6 − x2; x = 1, x = 1 + h
  4. College Algebra

    Let h(12) = -100 for some function h(x), defined everywhere. If the average rate of change of h(x) from x = 12 to x = 20 is 50, then find h(20).
  5. college algebra

    If the average rate of change of g(x) from x = 7 to x = 10 is -80, and if g(7) = 400, then find g(10).
  6. calculus

    Given the function: f(x)=x^3-4x^2+6x-3 a) Find the average rate of change of the function on the interval [2,4] b)find the instantaneous rate of change of the function at x=3.
  7. ---college algebra (average rate of change)---

    Find the average rate of change of g(x) = -2x2 + 36x - 142 on the interval from x = -5 to x = 10.
  8. Math

    Could someone help me with these questions, I don't know question c) and d) Consider the function f(x) = (0.1x-1)(x+2)^2. a) Determine the function's average rate of change on -2<x<6. Answer; Avg rate of change is -3.2 b) Estimate …
  9. Math~Reinyyy

    Could someone help me with these questions, I don't know question c) and d) Consider the function f(x) = (0.1x-1)(x+2)^2. a) Determine the function's average rate of change on -2<x<6. Answer; Avg rate of change is -3.2 b) Estimate …
  10. College Algebra

    Find the average rate of change for function f(x)=3x^(2)-5 at the points x[1]=6 and x[2]=10

More Similar Questions