標題:
math (function)
發問:
f(x)=36+x^2 g(x)=1/x+1 determine the domain of f(g(x))? 更新: solve the following equation e^-x+e^x=-25
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最佳解答:
您好，我是 lop，高興能解答您的問題。 (1) f[g(x)] = f(1/x+1) = 36 + (1/x+1)^2 = 36 + (1/x)^2 + 2(1/x) + 1^2 = 36 + 1/(x^2) + 2/x + 1 = 37 + (2x+1)/(x^2)
其他解答:
Q1) f(x)=36+x^2 g(x)=1/x+1 determine the domain of f(g(x))? Q2) solve the following equation e^-x+e^x=-25 A1) f(g(x)) = 36+(g(x)^2 = 36 + (1/x+1)^2 = 36 + (1/x)^2 + 2(1/x) + 1^2 = 36 + 1/(x^2) + 2/x + 1 = 37 + (2x+1)/(x^2) f(g(x)) is well-defined except x=0 So, the domain of f(g(x)) is x>0 and x
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