已知函数f(x)=3x눀+5x-2。①求f(3),f(a+1)的值。②若f(a)=-4,求a的值

2025-04-14 13:40:15
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回答(1):

f(x)=3x²+5x-2
f(3)=3·3²+5·3-2=27+15-2=40
f(a)=3(a+1)²+5(a+1)-2
=3a²+6a+3+5a+5-2
=3a²+11a+6
(2)f(a)=3a²+5a-2=-4
3a²+5a+2=0
(a+1)(3a+2)=0
a₁=-1 a₂=-2/3