Example 2. Solve for x:(x + 3)4 = 16.Solution. To do that, we must first extract the argument, x + 3. To extract the argument of any function, simply take its inverse. In this example, take the 4th root of both sides of the equation. We can write immediately...
An inverse function goes the other way!Let us start with an example:Here we have the function f(x) = 2x+3, written as a flow diagram:The Inverse Function goes the other way:So the inverse of: 2x+3 is: (y−3)/2The inverse is usually shown by putting a little "-1" after the...
A. 7/3 B. 2 C. 3 D. 1 相关知识点: 试题来源: 解析 A。已知 f(x) = 3x - 2,求 f(x)的反函数 g(x),先令 y = 3x - 2,解得 x = (y + 2)/3,所以 g(x) = (x + 2)/3。当 x = 5 时,g(5) = (5 + 2)/3 = 7/3。反馈...
Find the inverse of the function g(x) = (x + 2)/5. Find the inverse of the function g(x) = 8 - 5e^{6x -1}. Calculate g'(x), where g(x) is the inverse of f(x) = x/x - 2 Calculate {g}'(x), where g(x) is the inverse of f(x)=\sqrt{(1-3x)} ...
In mathematics, an inverse function or the anti-function is a function that can reverse into another function. The inverse of a function f(x) is denoted as f−1(x). Finding the inverse of a function f(x), first, we need to replace function with y, and next, we replace all x ...
xy = 5y − 2 Then I solve for x=: 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 domai...
There is an inverse if the function is one-to-one or restrictions imposed to give this state of affairs. However, the function y = sin x gives many values of x for the same value of y. To obtain an inverse we have to restrict the domain of the function to −π/2 to +π/2. ...
Answer to: Find the inverse of the following function: g(x) = 4x + 20. By signing up, you'll get thousands of step-by-step solutions to your...
注意inverse function是反函数的意思。若反函数存在，则直接函数必须是一一映射，既对每一个y值，有唯一的x值与之对应。具体到你的题目，y=2x^2-3, 若不规定x的范围，其自然定义域是R，既全体实数，但此时反函数不存在。 在规定了x<=0的前提下，其反函数为 y = -[(x+3)/2]^(1/2)....
百度试题 结果1 题目Find the inverse of the function, y=2x+10 ( ) A. 15x+2=f^(-1)(x) B. 12x-5=f^(-1)(x) C. -2x-10=f^(-1)(x) D. x⋅ 5=f^(-1)(x) 相关知识点: 试题来源: 解析 B 反馈 收藏