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...
How to Find the Inverse of a Rational Function Step 1:Verify that the function has an inverse by graphing the function, and determining if it passes the horizontal line test. Step 2:Determine the domain of the function, {eq}f(x) {/eq}. ...
Inverse Functions: Logarithm If we have a function described by a form {eq}y = f(x) {/eq} and we wish to find its inverse function, our goal is to express the independent variable {eq}x {/eq} in terms of the dependent variable {eq}y {/eq}. The resultant function {eq}x = f...
What are the limitations of using IFT to find inverse? While IFT is a powerful tool, it has some limitations. It can only be used for signals or functions that have a Fourier transform, which means they must be periodic and have a finite energy. IFT also assumes that the signal is cont...
Inverse Inverse laplace transform Laplace Laplace transform Transform In summary, the homework statement is to find the inverse Laplace transform. The attempt at a solution uses the theorem that \mathcal{L}[f(t)*g(t)]=F(s)G(s) where F(s) and G(s) are arbitrary functions. So, we sol...
Your textbook's coverage of inverse functions probably came in two parts. The first part had lots of curly-braces and lists of points; the second part has lots of "y=" or "f(x)=" functions for which you have to find the inverses, if possible. ...
To find out if two functions are inverses of each other, perform the functions on each other. If both results are the original variable (in your case n), then the functions are inverse. For your functions to be inverses, you need to have the results F(h(n)) = n and h(F(n)) =...
How to understand multiplicative inverses? Find the convolution f(t)*g(t) given f(t)=1, g(t)=cos 2t. Why is the integral a linear operator? If f ( x ) and g ( x ) are inverse functions of each other, which of these equations does not always hold? a. g ( f ( x ) ) =...
Find the inverse of the following exponential functions… f(x) = 2x f-1(x) = log2x f(x) = 2x+1 f-1(x) = log2x - 1 f(x) = 3x- 1 f-1(x) = log3(x + 1) Find the inverse of the following logarithmic functions… f(x) = log4x f-1(x) = 4x f(x) = log2(x ...
Sometimes the inverse trig functions are notated with "arc" in front of their names rather than the superscript "-1". The table below shows both names for each function. sin−1x=arcsinxtan−1x=arctanxsec−1x=arcsecxcos−1x=arccosxcot−1x=arccotxcsc−1x=arccscxsin−1...