From what I know about rational functions and vertical asymptotes (of which, this function has one), I know that the graph will go forever upward and forever downward, so the range is indeed everything other than y = 0. I'll use this to find the domain and range of my inverse. Here...
I was beginning to wonder if I was so incorrigibly wrong that no one was even willing to try. :P The reciprocal is the multiplicative inverse, and multiplication is a function that forms a group over the rationals. The inverse of a function is the function created by mapping each ...
complete the horizontal line test, we graph the equation. If a horizontal line can be drawn anywhere on the graph, such that it crosses the graph more than once, then the function is not one-to-one and does not have an inverse. Otherwise, it is one-to-one, and it has an inverse....
... then we can write down the Weierstraß equation simply for this given function. How to compute the derivative given the derivative of f is another question. If f−1 is given, then we do not have to bother about f. How do you know the inverse is differentiable? Apr 21, 2019...
Review: How do you find the inverse of a function? Application of what you know… What is the inverse of f(x) = 3x? y = 3x x = 3y y = log3x f-1(x) = log3x Rewrite the exponential as a logarithm… Find the inverse of the following exponential functions… f(x) = 2x f-1...
Notice that when the above formulae are used for cases (a) and (c) their results are approximate, because the disc is likely to have a radially variable surface temperature, meaning that ΔTD is not a constant but a function of R: if more accuracy is required, the value of R can be...
IFTInverse Function Theorem(mathematics) IFTIllinois Federation of Teachers IFTInstitut für Fenstertechnik(German: Institute for Window Technology) IFTInstitut fuer Therapieforschung(German: Institute for Therapy Research) IFTImage Foresting Transform ...
I need to find inverse function of: Here is as near as I could get to isolating x: I used the solve function on my calculator and the inverse I got I entered into a graphing window: Now what I want to know is how do you get the red function out of the blue one? I mean, how...
The daily returns of a particular stock are normally distributed with a mean of 0.05% and a standard deviation of 1.2%. If an investor wants to know the daily return value that corresponds to the 10th percentile of the distribution, what is that value?
Euler's phi function (which may be also called Euler's totient function) is a function that gives us the number of positive integers less or equal to a given integer nn that are coprime to nn. It is usually denoted by the greek letter ϕϕ. For instance, if we consider the number...