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What else can I help you with?
What is the inverse of the function f(x) 4x?
if f(x) = 4x, then the inverse function g(x) = x/4
What is the inverse of an even function?
An even function cannot have an inverse.If f(x) = y, then if f is an even function, f(-x) = y.Then, if g were the inverse function of f, g(y) would be x as well as -x.But a one-to-many relationship is not a function.
How can you tell if a equation is inverse?
Graph that equation. If the graph pass the horizontal line test, it is an inverse equation (because the graph of an inverse function is just a symmetry graph with respect to the line y= x of a graph of a one-to-one function). If it is given f(x) and g(x) as the inverse of f(x), check if g(f(x)) = x and f(g(x)) = x. If you show that g(f(x)) = x and f(g(x)) = x, then g(x) is the inverse of f(x).
Is x the numbers that are domains of both f and g in the function fgx?
No. The set of x-values are the domain for only g. This will result in a set of images, which will be g(x). This set of g(x) values are the domain of f.
When a function contains points how do you find inverse of the points?
Suppose a function f(.) is defined in the following way: f(1) = 3 f(2) = 10 f(3) = 1 We could write this function as the set { (1,3), (2, 10), (3,1) }. The inverse of f(.), let me call it g(.) can be given by: g(3) = 1 g(10) = 2 g(1) = 3
If an inverse function undoes the work of the original function the original functions range becomes the inverse functions?
Maybe; the range of the original function is given, correct? If so, then calculate the range of the inverse function by using the original functions range in the original function. Those calculated extreme values are the range of the inverse function. Suppose: f(x) = x^3, with range of -3 to +3. f(-3) = -27 f(3) = 27. Let the inverse function of f(x) = g(y); therefore g(y) = y^(1/3). The range of f(y) is -27 to 27. If true, then f(x) = f(g(y)) = f(y^(1/3)) = (y^(1/3))^3 = y g(y) = g(f(x)) = g(x^3) = (x^3)^3 = x Try by substituting the ranges into the equations, if the proofs hold, then the answer is true for the function and the range that you are testing. Sometimes, however, it can be false. Look at a transcendental function.
When gx and fgx are known how do you find fx where fx gx are functions of x and fgx is a function of gx?
Since g(x) is known, it helps a lot to find f(x). f(g(x)) is a new function composed by substituting x in f with g(x). For example, if g(x) = 2x + 1 and f(g(x)) = 4x2+ 4x + 1 then you you recognize that this is the square of the binomial 2x + 1, so that f(g(x)) = (f o g)(x) = h(x) = (2x + 1)2, meaning that f(x) = x2. if you have a specific example, it will be nice, because there are different ways (based on observation and intuition) to decompose a function and write it as a composite of two other functions.
What does inverse mean in mathematics?
It depends on the context. The additive inverse of a number, X, is the number -X such that their sum is 0. The multiplicative inverse of a (non-zero) number, Y, is the number -Y such that their product is 1. The inverse of a function f, is the function g (over appropriate domains and ranges) such that if f(X) = Y then g(Y) = X. So, for example, if f(X) = 2X then g(X) = X/2 or if f(X) = exp(X) then g(X) = ln(X), and so on.
How do you find the inverse of a function?
you take f(g(x)) and g(f(x)) of the two functions and the answers should be the same, if the answers are different they are not inverses.
If g-1(x) is the inverse of g(x) what is the value of g-1(g(x))?
0
Is the inverse of f of x a function?
If f(x) is a function, the inverse may, or may not, be a function. In math, quite often it is possible, and sensible, to restrict the original function to a certain range of numbers, within which the inverse is well-defined.The function f(x) has an inverse (within a certain range) if it is strictly monotonous within that range.
If f-1(x)g(x) inverse then the domain of g(x) the range of f(x)?
If f(x) is the inverse of g(x) then the domain of g(x) and the range of f(x) are the same.
