Find the Inverse Function f(x)=2x^3+1( f(x)=2x^3+1) 相关知识点: 试题来源: 解析 Replace ( f(x)) with ( y).( y=2x^3+1)Interchange the variables.( x=2y^3+1)Solve for ( y).( y=(√[3](4(x-1)))/2)Solve for ( y) and replace with ( f^(-1)(x)).( f^(...
The inverse function is f^(−1)(x)=sin ^(-1)(x+1)2.To find the range of f, solve y=2sin x−1 for sin x and use the fact that −1≤ sin x≤ 1.y=2 sin x-1sin x=(y+1)2−1≤ (y+1)2≤ 1−2≤ y+1≤ 2−3≤ y≤ 1The range of f is \(y∣ ...
解析 【解析】T he function declaration f(z) varies accordingto , but the input functionm only contains thevariablem. 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 f1(m).f^(-1)(m)=m ...
百度试题 结果1 题目 Find the inverse function of f. Verify that f(f^(-1)(x)) and f^(-1)(f(x)) are equal to the identity function. f(x)=5x 相关知识点: 试题来源: 解析 f^(-1)(x)= 15x 反馈 收藏
Thus, the inverse function is: f−1(y)={√yif0≤y≤1−√−yif−1≤y<0 | ShareSave Class 12MATHSRELATIONS AND FUNCTIONS Topper's Solved these Questions RELATIONS AND FUNCTIONSBook:CENGAGE ENGLISHChapter:RELATIONS AND FUNCTIONSExercise:Solved Examples ...
EXAMPLE 5 Find the inverse of a cubic function ANSWER The inverse of f is f –1(x) = 3 x – 1 2 . GUIDED PRACTICE GUIDED PRACTICE for Examples 4 and 5 Find the inverse of the function. Then graph the function and its inverse. 5. f(x) = x6, x ≥ 0 ANSWER f –1(x) = ...
Inverse Functions | Definition, Methods & Calculation from Chapter 7 / Lesson 6 187K 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...
Now that we have the steps and definitions needed for finding the inverse of a rational function, let's use our knowledge to work through two examples. How to Find the Inverse of a Rational Function Example 1 Let {eq}f(x) = \dfrac{6}{x+2} {/eq}. Find the inverse. ...
Find the inverse function f^(-1) of f(x)=2sin x−1, −(π )2≤ x≤ (π )2. Find the range of f and the domain and range of f^(-1). 相关知识点: 试题来源: 解析 f^(−1)(x)=sin ^(-1)(x+1)2()^().\(y∣ −3≤ y≤ 1\) or [−3,1][-3,1...
And then switch the x's and y's: So I've found the inverse, and it's another rational function; in particular, the inverse is indeed a function. The domain and range of this inverse function are the reverses of the original function's domain and range. So my answer is: inverse: ...