計算函數值

1. [g(3)]^2
= [4(3) - 3)]^2
= 81

2. g(3*2) = g(6) = 4(6) - 3 = 21
3*g(2) = 3[4(2) - 3] = 15
g(3*2) ≠ 3*g(2)
故原式並不正確。

3. g(3/2) = 4(3/2) - 3 = 3
g(3)/g(2) = [4(3) - 3]/[4(2) - 3] = 9/5
g(3/2) ≠ g(3)/(2)
故原式並不正確。

4. g(3^2) = g(9) = 4(9) - 3 = 33
[g(3)]^2 = [4(3) - 3]^2 = 81
g(3^2) ≠ [g(3)]^2
故原式並不正確。

2011-11-14 21:33:03 補充：
001: Note that the (a) asks you about [g(3)]^2 but not [g(x)]^2.

1.
[g(3)]^2=(4x-3)^2=16x^2－24x+9

2.
LHS=g(3*2)=(24-3)^2=441
RHS=3×g(2)=3×(8-3)=15∵LHS≠RHS
∴it is not correct

3.
LHS=g(3/2)=(6-3)=3
RHS=g(3)/ g(2)=(9)/(6)=3/2
∵LHS≠RHS
∴it is not correct

4.
LHS=g(3^2)=4×9-3=33
RHS=(4×3-3)^2=81
∵LHS≠RHS
∴it is not correct

then g(x) = ?