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Inverse of a Function
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- The Inverse of a Function,
a selection of answers from the Dr. Math archives.
- What is an inverse?
- Inverse Statements
- Say there are 3 + 4 times as many girls as boys. Is this the same
as saying there are -3 + 1/4 as many boys as girls?
- Inverting Functions
- To find the inverse of a function y=f(x), do I interchange the
variables x and y, or do I solve for x in terms of y?
- Inverse Functions in Real Life
- I would like to know if you have a good example of how inverse functions
would be used in real life.
- Is the Function Invertible?
- For the following functions f(x) decide if the function is invertible
as a function from R to R...
- Invertible Functions
- Consider as a function from R -> R (Real) and say whether the function
is invertible: h(x) = (sgn x)* sqrt(abs(x)) where sgn is +1 if x is
positive, -1 if x is negative, and 0 if x is 0.
- Finding an Inverse
- What is the inverse function of f(x) = 1 - 2x? What is the
general method for finding an inverse function?
- Is the Inverse a Function?
- How do I find the inverses and determine whether the inverses are
- Unraveling an Inverse Function
- I got this question wrong: y = (-5x - 2) / (-x + 1).
- Function Its Own Inverse
- Show that f(x) = X/X-1 is its own inverse.
- Inverses of Trigonometric
- How can the functions cosine and sine have inverses of
arcsin and arccos respectively?
- Inverse Functions: Arcsec(x)
- If y = arcsec(x) then what does x equal? How is this problem
related to inverse functions?
- Inverse of a Function vs.
- Finding the inverse of a function and graphing yields a graph that has
been reflected in the line y = x relative to the function. Inverse
proportionality, however, yields a reciprocal relation graphically. Why do
these two things have similar names yet mean different things?
- Inverse Functions One-Way Only
- Are there two functions, f and g, such that (f of g)(x) = x but
(g of f)(x) does not equal x?
- Domain and Range of an Inverse Function
- Why is the domain of a function equal to the range of the inverse function?
- Inverse Functions - Which Statement
- Does (f o g)^(-1) equal f^(-1) o g^(-1) or g^(-1) o f^(-1)?
How can you prove it?
- Inverse of a Multivariate Function
- Let f:NxN -> N such that f(x,y) = 2^x(2y + 1) - 1 for all
natural numbers x, y. Let the inverse of f, g be given by g:N -> NxN.
Find the inverse of the function g.
High School Functions
Index of Selected Answers to Common Questions
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