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<math>f(1) = 1 / 1^2 = 1 / 1 = 1</math> | <math>f(1) = 1 / 1^2 = 1 / 1 = 1</math> | ||
| + | |||
<math>f(2) = 1 / 2^2 = 1/4 </math> | <math>f(2) = 1 / 2^2 = 1/4 </math> | ||
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Then, <math>f(E) = {f(x) : 1 <= x <= 2}</math> | Then, <math>f(E) = {f(x) : 1 <= x <= 2}</math> | ||
| + | |||
<math> 1/4 <= f(E) <= 1</math> | <math> 1/4 <= f(E) <= 1</math> | ||
| + | |||
Then, <math>f(E) = {y : 1/4 <= y <= 1}</math> | Then, <math>f(E) = {y : 1/4 <= y <= 1}</math> | ||
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I am having trouble with question 8 from our first HW. I am going back and trying to fix my old HW. I got back my HW and got a 0 out of 25. Can any one help get me started?
Thanks,
Andrew
8.(a)
$ f(1) = 1 / 1^2 = 1 / 1 = 1 $
$ f(2) = 1 / 2^2 = 1/4 $
Then, $ f(E) = {f(x) : 1 <= x <= 2} $
$ 1/4 <= f(E) <= 1 $
Then, $ f(E) = {y : 1/4 <= y <= 1} $
