https://file.aiquickdraw.com/mathbot/file/1725595606725vxqzoog1.jpg

The image you uploaded contains a question that involves evaluating a given function at various points. The function appears to be of the form:

\[
f(x) = \frac{3x^2 - 2x + 1}{x^2}
\]

The task involves finding specific function values, as indicated in the following subparts:

(a) \( f(1) \)  
(b) \( f(-1) \)  
(c) \( f(2) \)  
(d) \( \lim_{x \to \infty} f(x) \)  
(e) \( \lim_{x \to 0^+} f(x) \)

It seems like you got some answers right and others incorrect. I’ll go through each part step-by-step to help you with the evaluation.

### (a) \( f(1) \)
Substitute \( x = 1 \) into the function:

\[
f(1) = \frac{3(1)^2 - 2(1) + 1}{(1)^2} = \frac{3 - 2 + 1}{1} = \frac{2}{1} = 2
\]

This matches the correct answer indicated in your image.

### (b) \( f(-1) \)
Substitute \( x = -1 \) into the function:

\[
f(-1) = \frac{3(-1)^2 - 2(-1) + 1}{(-1)^2} = \frac{3(1) + 2 + 1}{1} = \frac{3 + 2 + 1}{1} = 6
\]

### (c) \( f(2) \)
Substitute \( x = 2 \) into the function:

\[
f(2) =

Given f(x) = (3x^2 - 2x + 1) / x^2, find the following: (a) f(1) (b) f(-1) (c) f(2) (d) lim x -> infinity f(x) (e) lim x -> 0+ f(x)

This problem involves evaluating a rational function f(x) = (3x^2 - 2x + 1) / x^2 at specific points and calculating limits as x approaches infinity and 0. It covers concepts of function evaluation and limit theorems, suitable for high school students.

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