Final answer:
To find g(-2) for the function g(x)=(x-2)(x+5)(x-1)(x+3), substitute -2 into the function and calculate the product, which results in g(-2) = 36.
Step-by-step explanation:
To calculate g(-2) for the function g(x)=(x-2)(x+5)(x-1)(x+3), we replace the variable x with -2:
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- g(-2)=(-2-2)(-2+5)(-2-1)(-2+3)
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- g(-2)=(-4)(3)(-3)(1)
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- g(-2)=(-12)(-3)(1)
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- g(-2)=36(1)
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- g(-2)=36
Therefore, the evaluation of the function g(x) at x = -2 is 36.