數學問題 請幫手

2010-01-13 6:13 am
1)given f(x)=1/x and g(x)=x^2, i)find f(1/3)+g(-2), ii)find g{f(2)}.

2)solve the following equation: 2^2x+6=4^5-x.

回答 (1)

2010-01-13 6:20 am
✔ 最佳答案
1)i) f(1/3)+g(-2)
= 1/(1/3) + (-2)^2
= 3 + 4
= 7
ii) g{f(2)}
= [f(2)]^2
= (1/2)^2
= 1/4
2)2^2x+6=4^5-x
2^(2x+6) = 4^(5-x)
2^(2x+6) = 2^2(5-x)
2x+6 = 2(5-x)
2x+6 = 10 - 2x
4x = 10 - 6
x = 1


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