Mar 12, 2006 · "Inverse", alone, does not ever mean "1 over" a function! That would be the "multiplicative inverse" or reciprocal, just as "negative 1 times" a function would be the "additive inverse" or negative of a function. The "inverse function" is …

Apr 3, 2023 · Domain and range are also interchanged - range ##y \ge -1## on the function becomes domain ##x \ge -1## on the inverse. I have avoided referring to "inverse function" because technically this inverse is not a function. For x>1 there are two y values for each x value.

Apr 22, 2008 · In ordinary arithmetic the additive inverse is the negative: the additive inverse of 2 is -2. The multiplicative inverse is the reciprocal: the multiplicative inverse of 2 is [itex]\frac{1}{2}[/itex]. If we are talking about functions, then the inverse function is the inverse with respect to "composition of functions": f(f-1 (x))= x and f-1 (f ...

Feb 17, 2008 · Homework Statement a sample problem: arcsin(-1/2) 2. The attempt at a solution do i look at the unit circle and find the y-coordinate or x-coordinate that has -1/2? i did ASTC, and figure that it'd be in either quad 3 or quad 4; to tell you the truth i don't understand how to use...

Oct 24, 2007 · What does "unique" mean? I ran into a trivial exercise. If a function f is bijective, show that it has an inverse. That's easy. But then, the question goes: if f has an inverse, show that it is unique. I'm not really sure what is meant by "unique." I would assume it is has to do with the function's one-to-one correspondence.

Mar 4, 2012 · What does inverse of x part of (x,y) coordinate even mean? So, suppose in the image domain your axes go from pixel 0 to pixel 100 in steps of 1 pixel. Then in the frequency domain the axes would go from -0.5/pixel to 0.5/pixel in steps of .01/pixel.

Sep 24, 2007 · Hi, I'm doing some astronomy work and one problem involves using Rydberg's constant. However, it is inverse meters and I'm confused. Does that mean that it is 1/109737361.6 m? Thanks.

Aug 3, 2014 · On the wolfram page only complex analysis is mentioned. In complex analysis the inverse sine can be defined, but it is not an (inverse) function (see e.g. wiki or wolfram on functions). It's what they call a multi-valued function. Apparently Wolfram is abbreviating, since properly it should refer to an inverse trigonometric multi-valued function.

May 12, 2023 · -What does it additive inverse mean?-What does multiplicative inverse mean? Is the usual addition and multiplication on ℕ a binary operation?-Does this operation have the additive inverse property?-Does this operation have the multiplicative inverse property? Answer these questions for ℤ, ℚ, and ℝ. In this order.

Dec 26, 2015 · I want to say just simply that the image in the mirror is laterally inversed but Google does not recognize the word inversed but a dictionary does recognize inversed as a word. Inverse is like an inverse function; sounds like reverse function so maybe is this the best word. Please advise Homework Equations The Attempt at a Solution