解析 Replace ( f(x)) with ( y).( y=(1+e^x)/(1-e^x))Interchange the variables.( x=(1+e^y)/(1-e^y))Solve for ( y).( y=(ln)((x-1)/(1+x)))Solve for ( y) and replace with ( f^(-1)(x)).( f^(-1)(x)=(ln)((x-1)/(1+x)))...
If the function f(x) = x³ has an inverse function g(x), then g(8)=? A. 2 B. 3 C. 4 D. 5 相关知识点: 试题来源: 解析 A。因为 f(x) = x³,其反函数 g(x) = ∛x。当 f(x)=8 时,x = 2,所以 g(8)=2。反馈 收藏 ...
为了表示反函数,数学家们发明了一种特殊的记号——反函数码(inverse function notation)。 反函数码的写法为:如果函数 f(x) 的反函数为 g(x),那么反函数码的写法为 f⁻¹(x) = g(x),其中⁻¹表示反函数的意思。 举个例子,若函数 f(x) = 2x + 1,则其反函数为 g(x) = (x - 1) / 2...
Find the Inverse Function f(x)=m 相关知识点: 试题来源: 解析 The function declaration varies according to , but the input function only contains the variable. Assume .Replace with .Interchange the variables.Rewrite the equation as .Solve for and replace with . ...
两道AP微积分题.1.let f(x) have an inverse function g(x).Then f(g(x))=2.tan(arccos(根号2/2))=第
To find the inverse of the function f(x)=ex−e−xex+e−x, we will follow these steps: Step 1: Set the function equal to yLet y=f(x):y=ex−e−xex+e−x Step 2: Cross-multiply to eliminate the fractionCross-multiplying gives:y(ex+e−x)=ex−e−xThis simplifies to...
Learn to define what inverse functions are and how to find the inverse of a function. Discover the methods to confirm inverse functions. See examples. Related to this Question What is the inverse of the function f(x) = (1/4)x - 12?
We have the function: {eq}f(x) = 4 x + 8 {/eq} To get the inverse of the function, we will replace {eq}f(x) {/eq} with {eq}y {/eq}. Therefore: ...Become a member and unlock all Study Answers Start today. Try it now Create an account Ask a question O...
f(x)={x3−1,,x<2x2+3,x≥2 Video Solution| ShareSave Answer Step by step video & image solution for Find the inverse of the function: f(x)={x^3-1, ,x<2x^2+3,xgeq2 by Maths experts to help you in doubts & scoring excellent marks in Class 12 exams....