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Explanation:
To find the value of f(-2), we need to substitute -2 for x in the function f(x)=-4x^2+x+1 and simplify:
f(-2) = -4(-2)^2 + (-2) + 1
= -4(4) - 2 + 1
= -16 - 1
= -17
Therefore, the value of f(-2) is -17.