解析 【解析】 Replace f(r) with y. y=(1+e^x)/(1-e^x) Interchange the variables. 1+e x=(1+e^θ)/(1-e^y) Solve for y. y=ln((x-1)/(1+x)) Solve for y and replace with f 1(r). f^(-1)(x)=ln((x-1)/(1+x)) 反馈 收藏 ...
【题目】Find the inverse function f-1 of f(r) =2sinr -1,-π/(2)≤x≤π/(2) . Find the range of ; and the domai n and range of f-'. 相关知识点: 试题来源: 解析 【解析】 f^(-1)(x)=sin^(-1)(x+1)/2 2 (y|-3≤y≤1\)OT|-3 ,1] [-3,1] . [-π/(2),...
Find the inverse function.y=ex3Select the correct answer. (a)y=3lnx(b)y=ln3x(c)y=(lnx)3(d)y=lnx3 The Inverse of an Exponential Function: Exponential and logarithm functions are inverses of each other. The following is a general method for finding ...
Find the inverse function (if it exists) of {eq}g(x) = \frac{\sqrt x + 8}{5 - \sqrt x} {/eq} Inverse functions This example illustrates the process of finding the inverse of a given function. Specifically, in this case the given function is a rational funct...
See similar textbooks Related questions Question Transcribed Image Text:Find the inverse function of f. x - 7 f(x : X +7 f (x) = Expert Solution Trending nowThis is a popular solution! Step by stepSolved in 2 steps See solution Check out a sample ...
解析 The function declaration f(x) varies according to x, but the input functionm only contains the variablem. Assume f(m)=m.f(m)=mReplace f(m) with y.y=mInterchange the variables.m=yRewrite the equation as y=m.y=mSolve for y and replace with f^1(m).f^1(m)=m ...
The function declaration ( f(x)) varies according to ( x), but the input function( m) only contains the variable( m). Assume ( f(m)=m). ( f(m)=m) Replace ( f(m)) with ( y). ( y=m) Interchange the variables. ( m=y) Rewrite the equation as ( y=m). ( y=m) ...
Find the inverse function. {eq}f(x) = 3^{(x - 1)} {/eq} Inverse of a Function: Finding the inverse of a function becomes relatively much easier if we adopt a systematic approach. One of the key steps in this approach is solving for {eq}y {/eq} whereby we need to use the al...
Find the inverse function of f(x)= x - \frac{2}{5} algebraically. A one to one function is given. Write an equation for the inverse function. v(x) = \frac{x - 2}{x + 9} Find an equation of the inverse of the function f(x) = \frac{x - 6}{ 3 - x}. ...
The formula C=59(F−32) where F≥−459.67 expresses Celsius temperature C as a function of Fahrenheit temperature F. Find a formula for the inverse of the function and its domain. Inverse Functions: In this classic example of useful inverse functions, w...