LOGS (ALGEBRA)

FIND THE INVERSE:

f(x) = 10^(5x+3) - 10

f^-1(x) =

  1. 👍 0
  2. 👎 0
  3. 👁 87
asked by Marty
  1. y = 10^(5x+3) - 10
    (y+10) = 10^(5x+3)
    log(y+10) = 5x+3
    x = (log(y+10)-3)/5

    so, f^-1(x) = (log(x+10)-3)/5

    1. 👍 0
    2. 👎 0
    posted by Steve

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Find inverse of f if f(x)= x^2-4x+3, (for x is smaller than and equal to 2). First prove that f(x) is one to one in the defined domain of f and then obtain the inverse function. I know how to find the inverse. We just switch x and

    asked by Mahnoor on January 19, 2015
  2. Math- steve? reiny?

    1. Let f(x)=x^5 + 2x^3 + x - 1 Find f^-1(3) and (f^-1)'(3)? I have zero idea how to find the inverse of this function at a point 3, and how to take derivative of an inverse. 2.Let f(x)=cosx + 3x Show that f(x) is a differentiable

    asked by Bob on January 11, 2016
  3. inverse

    If f(x)=cosx + 3 how do I find f inverse(1)? Thanks y = cos(x) + 3 the inverse of this is x = cos(y) + 3 solve for y and you have your inverse The cos function only has a range of [-1,1], so the range of f(x) is [2,4]. this means

    asked by Jen on October 20, 2006
  4. Pre-caluclus

    I do not know how to solve for y to get the inverse of this question: The number of elephants in a park is estimated to be P(t)=7500 1 + 749e^(−0.15t) where t is the time in years and t = 0 corresponds to the year 1903. Find the

    asked by Anonymous on September 30, 2014
  5. Pre-Calc

    Does y=1/x have an inverse? It is a one-to-one function, so it should be the inverse equation is the same??? yes, the inverse is the same. Check it with G(f(x)) So, when drawing the inverse, it is just the same graph?

    asked by Belinda on January 21, 2007
  6. Math

    Find the zero of f(x) = (2^x-1)(-3^x+1). x = (ln2 + ln3)/(ln2 - ln3) x = (ln2 - ln3)/(ln2 + ln3) x = 2/(ln2 - ln3) x = - (ln5/ln1) I can't figure this out. Solve log(27)(log(x)10) = 1/3 for x. x = (3(inverse)sqrt90)/3 x =

    asked by Max on December 7, 2017
  7. inverse

    find f^-1 (x). (this is asking me to find the inverse) f(x) = -(x-2)^2, x If f(x)=-(x-2)^2 x

    asked by kristie on July 11, 2006
  8. Advanced Algebra

    What is the inverse of each of the functions defined by the following equations, if the inverse exists. If the inverse does not exist for the largest possible domain, limit the domain so that the inverse will exist. In each case,

    asked by Keith on November 15, 2014
  9. math

    The cost of producing q articles is given by the function C=f(q)=100+2q. (A) Find the formula for the inverse function. (B) Explain in practical terms what the inverse function tells you. I am pretty sure the answer to A is

    asked by Hamilton on August 15, 2008
  10. pre calculus

    Find the inverse of the function below. Graph the function below and the inverse. Determine the domain, range and asymptotes of the function below and the inverse function. Please show all your work. f(x) = 2e^-x + 5 Just looking

    asked by Michelle on December 20, 2011
  11. Algebra

    Given the functions f(x)=x+5/3 and g(x)=1/f^-1(x)+1, find the value of g(3). The first step would first be to find the inverse of x+1, the denominator of the fraction. I think the inverse would be 1-x. And now we have 1/1-x so we

    asked by Trish Goal on November 4, 2014

More Similar Questions