posted by .

Suppose f is a function with exponential decay. Explain why the function g defined by g(x)=1/f(x) is a function with exponential growth.


  • Precalculus -

    A general equation for exponential decay can be written f(x) = A e^(-kx), where A and k are positive contants.

    If f(x) = A e^(-kx), then
    1/f(x) = (1/A)e^kx ,

    which is an equation for exponential growth.

  • Precalculus -

    Describe the important features of exponential decay.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra

    Which of the following statements is the best description of exponential decay?
  2. Exponential decay

    Show that if a radioactive substance has a half life of T, then the corresponding exponential decay function can be written as y=y0e^kt
  3. calculus please help asap

    true or false questions: a)The derivatives of the reciprocal trigonometric functions can be found using the chain rule and their related base functions. b) A sinusoidal function can be differentiated only if the independent variable …
  4. Math

    True or False. If possible kindly explain why so that I can understand it. Thanks much. 1. f(x) = 1^x is not an exponential function. 2. Every exponential function is strictly increasing.
  5. algebra

    Given the exponential function A(x) = P(1 + r)x, what value for r will make the function a decay function?
  6. Exponential Growth and Decay

    Can somebody please check my answers? 1. Identify the initial amount a and the growth factor b in the exponential function. g(x)=14*2^x a)a=14, b=x b)a=14, b=2 <<<< c)a=28, b=1 d)a=28, b=x 2. Identify the initial amount
  7. Math

    Write the exponential function y=6(1.21)t in the form y=aekt. (a) Once you have rewritten the formula, give k accurate to at least four decimal places. k= help (numbers) If t is measured in years, indicate whether the exponential function …
  8. am I right ? or no?

    Which equations represent exponential growth?
  9. Math

    Does the function represent exponential growth or exponential decay. Identify the growth or decay factor. y=9 x (1/2) I'm not sure how to make the chart to show the decay.
  10. math

    The Mexican long-tongued bat population is an endangered species, which decreases at a rate of 3.5% per year in a wildlife preserve that currently has 80 of them. What type of function will model the population?

More Similar Questions