(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let f(x):=1/x^2, x not equal 0, x belongs R

a) Determine the direct image f(E) where E:= (x belongs R : 1<=x<=2)

b) Determine the inverse image f^(-1)(G) where G:= (x belongs R : 1<=x<=4)

2. Relevant equations

3. The attempt at a solution

A) Let f: R -> R be defined by f(x):=1/x^2. Then, the direct image of the set E:=(x:1<=x<=2) is the set f(E)=(y:1<=x<=1/4).

If G:= (y : 1<=x<=4), then the inverse image of G is the set f^-1 (G)=(x:

And here I don't quite understand how to find an inverse image. Please help.

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# Determine Direct and Inverse Image f(E) and f^-1 (G)...

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