Questions tagged [inverse]

Inverses include: multiplicative inverse of a number (reciprocal), inverse function, matrix inverse, etc. A subject tag such as (linear-algebra), (algebra-precalculus) or (arithmetic) should be added to clarify in which sense "inverse" is used. This tag should never be the only tag on a question.

An inverse is an operation that reverses the effect of another operation. This is a broad concept that arises in many areas of mathematics.

  • Multiplicative inverse: $2^{-1} = 1/2$
  • Inverse function: $\sin^{-1}x$ is the inverse of sine
  • Inverse matrix $A^{-1}$
  • Left and right inverses of group elements, of operators between linear spaces, etc.
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Inverse Square law problem, how to calculate for distances.

i've got a bit of a problem with the inverse square law (I1/I2=D2 squared/D1 squared)(Where I=intensity and D=distance) I need to change a distance from 1000mm to 400mm (I'm a Radiographer). Most of our current techniques are set at 1000mm, but one…
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How to calculate frequency with clock signal is 500ps in digital logic?

How can i calculate frequency if clock signal 500ps. I know the only formula, that is T=1/f But i cant able to calculate, can anyone help me? Thanks in advance.
selva
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What happens when you play around with invertible functions

Let f : Z → Z be defined by f(x) = x^2 + 1, and let C = {1, 2, 3} So f doesn't have an inverse but can I still do such operations: f^-1(f(C)) = C and f(f^-1(C)) = C In addition, would f^-1(C) equal the empty set? Or can I not even assume f^-1 equals…
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f inverse of f(a)

$f\left(x\right)=x^{2}-4x+8$, for $x\ge2$ If $a\le0$, find $f^{-1}\left(f\left(a\right)\right)$. I know $f^{-1}\left(x\right)=2+\sqrt{x-4}$ How to solve my qn then.
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