1/x is the inverse of x. 1/x是x的倒数。 Function G is the inverse of function F. 函数G是函数F的反函数。 Inverse Reverse是“相反的”的意思。通常用于表达朝着相反的方向变化的语境。比如汽车的倒挡、汽车行驶过程中的调头就是Reverse。 Example: Reverse your car at the next cross. 下个十字路...
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...
Answer to: Find the inverse of the function g(x) = 8 - 5e^{6x -1}. By signing up, you'll get thousands of step-by-step solutions to your homework...
Inverse function of y=x|x|e^xHello, so I need to find the inverse function to y=x|x|e^x. I've never seen such a difficult function to inverse. I thought I could 'split' it and then put together. so: x=y, x=lny and x=y or x=-y. All together it would be:y=x*x*ln...
To find the inverse of a function we swap thexandyvariables iny=f(x)to obtain the equationx=f(y), solving the equation forx. If this can be done in a unique way, then the function is invertible and the solution found will give the expression for the inverse function. When we are fi...
The arctangent of x is defined as the inverse tangent function of x when x is real (x∈ℝ).When the tangent of y is equal to x:tan y = xThen the arctangent of x is equal to the inverse tangent function of x, which is equal to y:...
Park, Inverse functions of y = x1/x, Amer. Math. Monthly 108 (2001), 963-967.Inverse functions of y = x 1/x - Cho, Park () Citation Context ...terated exponential) function h(x) is the limit of the sequence of finite power towers (or hyperpowers) x, x x x x , x , . ...
"Let f and g be two functions such that f(g(x))=x and g(f(x))=x.The function g is called an inverse function of the function, f and vice versa".Since f(g(x))=x and g(f(x))=x, the functions f(x)= 1(x+1) and g(x)= (1-x)x are inverse functions of each other...
解析 Replace ( f(x)) with ( y). ( y=(log)(x)) Interchange the variables. ( x=(log)(y)) Solve for ( y). ( y=(10)^x) Solve for ( y) and replace with ( f^(-1)(x)). ( f^(-1)(x)=(10)^x) 反馈 收藏 ...
The inverse of a function f is a function f^(-1) such that, for all x in the domain of f, f^(-1)(f(x)) = x. Similarly, for all y in the domain of f^(-1), f(f^(-1)(y)) = y Can you always find the inverse of a function?