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. ...
—then we can say that the action of g has extracted the argument x.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 ...
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 ...
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 function name, like this:f-1(y)...
1. Rewrite the function usingyinstead off(x). 2. Switch thexandyvariables; leave everything else alone. 3. Solve the new equation fory. 4. Replace theywithf−1(x). 5. Make sure that your resulting inverse function is one‐to‐one. If it isn't, restrict the domain to pass the ...
f(x)=x3−1? Inverse of functionLet f(x) be a function defined in a domain D then the inverse of a function will exist if it is both one-one and onto. The inverse of the function can find out by putting f(x)=y and then find the value of x in terms of y....
百度试题 结果1 题目What is the inverse of the function3h(x)=3/2(x-11) h^(-1)(x)= 相关知识点: 试题来源: 解析 y=3/2(x-11) saeforxinfermsofyS.y=3/2(x-11) ⇒2/3y=x-11 x=2/3y+11 h^(+1)(x)=2/3x+11 反馈 收藏 ...
one-to-one function一对一函数 简单定义 Paste_Image.png 换句话说,对于相同的y,只有对应的一个x和他对应 Horizontal Line Test 横线测试 Paste_Image.png 例如,下面这个函数,就不是 one-to-one function 一对一函数 Paste_Image.png 简单例子 例子1: ...
Since any output y=x3+4y=x3+4, we can solve this equation for xx to find that the input is x=3√y−4x=y−43. This equation defines xx as a function of yy. Denoting this function as f−1f−1, and writing x=f−1(y)=3√y−4x=f−1(y)=y−43, we see that ...
一、一一对应函数(one-to-one function)若函数 f 从未取同一个值至少两次,即对任意 x_{1} e x_{2} 有 f\left( x_{1} \right) e f\left( x_{2} \right) ,则称其为一一对应函数.二、水平线检验当且仅当没有任何…