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Step-by-step explanation:
f(x) = x³ - 12x² + 45x -18
to find the interval of the function :
f'(x) > 0
3x²-24x+45 > 0
x²-8x +15 >0
(x-5) (x-3) >0
x<3 or x >5
the solutions :
{x < 3 or x > 5}