Question: Let $f(x) = (x+2)^2-5$. If the domain of $f$ is all real numbers, then $f$ does not have an inverse function, but if we restrict the domain of $f$ to an interval $[c,\infty)$, then $f$ may have an inverse function. What is the smallest value of $c$ we can use here, so that $f$ does have an inverse function?
A: -2
B: -5
C: 3
D: -8
Please eliminate two incorrect options first, then think it step by step and choose the most proper one option. Your answer should have exactly 3 paragraphs. Make sure that the first paragraph starts with the word "ways" and that each paragraph is separated by two new lines.
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