Which is the correct inverse of the one-to-one function: {eq}\displaystyle f(x)=\frac{3x-1}{x+2} \\ \displaystyle (a)f^{-1}(x)=-\frac{2x-1}{x-3}, x \neq 3 \\ \displaystyle (b)f^{-1}(x)=\...
Transcribed Image Text:Find the inverse of the one-to-one function. f (x) = r3 - 4 Expert Solution Learn more aboutAsymptote Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and relate...
Find the inverse of the given one-to-one function f. Give the domain and the range of f and of f^(-1), and then graph both f and f^(-1) on the same axes.Find f(f^(-1)(5)) and f^(-1)(f(a)):f(x)=x^3-4.
The Inverse of an Exponential Function: Exponential and logarithm functions are inverses of each other. The following is a general method for finding inverse functions. Iffis a one-to-one function then to find a formula forf−1, Replacef(x)withy. That ...
f^(-1)(x)=-3+2/x x Note any domain restrictions on f-1(x). x≠0 The inverse of the function f(x)=2/(x+3) x+3 x≠-3, is f-1(x) =-3+二, x≠ 0. Check. f 1(f(x))=-3+3=-3+(x+3)=a () ,x≠-3 2 2 f(f-1(x))= , x≠q0 反馈 收藏 ...
The inverse function formula says f and f^(-1) are inverses of each other only if their composition is x. i.e., (f o f^(-1)) (x) = (f^(-1) o f) (x) = x.
Inverse Function Defined The mathematical definition of a function is a relation (x, y) for which only one value of y exists for any value of x. For example, when the value of x is 3, the relation is a function if y has only one value,...
In Problems, the function f is one-to-one. (a) Find its inverse function f^(-1) and check your answer. (b) Find the domain and the range of f and f^(-1).f(x)=(2x+3)(x+2) 相关知识点: 试题来源: 解析 (a) f^(-1)(x)=(-2x+3)(x-2)f(f^(-1)(x))=f((-2x...
From what I know about rational functions and vertical asymptotes (of which, this function has one), I know that the graph will go forever upward and forever downward, so the range is indeed everything other than y = 0. I'll use this to find the domain and range of my inverse. Here...
【解析】 Since there is one value of y for every value o f x in(3,1),(-1,-3),(5,-7),(-5,7), this relation is a function. T he relation is a function. Use the definition of the inverse of a functio n to find the inverse of the set. T he inverse is found by...