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

find the image of the function

h: (0,1)→ ℝ defined by h(x) = 1/(x^{2}+8x) for 0<x<1

2. Relevant equations

3. The attempt at a solution

I have tried a number of things, I can see the answer intuitively but I am having trouble with the proof. I set the function up as 1/(x^{2}+8x)=b, and I have been trying to manipulate this in order to get what I need. the first thing i did was calculate b at x=0 (undefined) and x=1 (1/9) and from there I got 3 different intervals for b, the last one (1/9, ∞) i know is correct. I just am not sure how to show this is correct.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Image of a function

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