Help finding inverse Fourier transform of a function.

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I have the function $f(x) = 1 -|x|$ for $|x|\leq 1$. And zero everywhere else. I'm supposed to find the inverse Fourier transform of the function but I only have a formula for the inverse Fourier transform of a vector not a function in my notes.

Can someone point me in the right direction?

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The answer in question was $sinc^2(x)$ according to the grader; not sure where they got that but there it is.