(3,4)) is not equal to the range of the second relatio n g=((2,1),(7,8)) and the range of the first relat ion is not equal to the domain of the second r elation g=((2,1),(7,8)), which means that f=((1,2),(3,4)) is not the inverse of g=((2,1),(7,8)...
The inverse of a function f(x) is denoted by f−1(x). The inverse of a function returns the input for for a given value of the function. For example, if f(x)=3, then the inverse of this function would determine the value of x for which f(x)=3....
A function is an algebraic expression with two variables. The independent variable is the values given to be evaluated to obtain the dependent variable. The input values of a function are the domain, and the output is the range. The inverse function is the reciprocal of an original. It ...
1.If a function has an inverse function,then the inverse function is one-to-one.2.If a function is diffrentiable,the f'(x) is one-to-one.需要理由和举例. 答案 第一个是对的!存在反函数的条件是原函数必须是一一对应的,也就是说原函数有反函数,则反函数一定是一一对应的!第二个是错的!可微...
解答：y=2x^2-3, X<=0 这个时候要注意y的取值范围是 [-3，无穷）inverse of the first function 得到：y= -√[1/2(x+3)]这个时候注意inverse function 里的y，就是first function里的x，因为x<=0,所以反函数里的y<=0, 你的结果里的正号就要被舍掉了， 正确结果就是： y= ...
2) Which o f the following is the inverse o f the function f$$ f ( x ) = 2 x - 1 ? $$a)$$ f ^ { 1 } ( x ) = \frac { x - 1 } { 2 } $$b)$$ f ^ { 1 } ( x ) = \frac { x + 1 } { 2 } $$C)$$ f ^ { 1 } ( x ) = x + 2 $$d)$$ ...
Let g is the inverse function of fa n df^(prime)(x)=(x^(10))/((1+x^2)) . If g(2)=a , then g^(prime)(2) is equal to a/(2^(10)) (b) (1+a^2)/(a^(10)) (a^(10
The Inverse of a Function: The inverse of a function reverses the original function. In order to find the inverse, the first thing we need to do is to interchange x and y. After that, we solve for y and the resulting function in terms of x is the inverse function. ...
∴inverse function Let f be a one-to-one function. Its inverse,denoted by f1, is the function that satisfies the equations f1( f(x))=x for all values o f x in the do main o f f,and f( f-'(x))=χ for all values o f xin the domain o f f'.For example,the function y=...
Let us consider a one-one function {eq}y=f(x) {/eq}. A function {eq}f^{-1}(x) {/eq} is said to be inverse of the function {eq}f(x) {/eq} if the following conditions are satisfied. $$f( f^{-1}(x)) =x , \text{ for every...