Inverse Fourier Transform of a sum of 2 off-set triangle

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I'd like to get some help finding the original function of:

$$f(w) = T(w-1) + T(w+1)$$ to find $f(x)$.

I tried to apply on both T functions the inverse integral, while swapping $w$ with $-x$ but i get $-f(x)$.

i'd like to apologize if the syntax is wrong.. hope you'd understand.