11.设 (x)=dfrac (x)(sqrt {1+{x)^2}} 求 [ f(x)] , f[ f(x)] .
求f[g(x)],g[f(x )]
设f(x)=(x)/(1-x),g(x)=(x)/(1+x),求复合函数f[f(x)],f[g(x)],g[f(x)],g[g(x)].设$f(x)=\frac
,求f (f(x )。。
设函数f(x)={2,|x|<1,)0,|x|≥1,).求f[g(x)],g[f(x)].设函数f(x)=$\left\{\begin{array}{l}{2,
设(x)f有二阶连续导数且(x)f,(x)f,求(x)f,使得(x)f设有二阶连续导数且,,求,使得
1.设 (x)=dfrac (1)(1-{x)^2}, 求 (-x),f[ f(x)] ,f[ dfrac (1)(f(x))]
g(x)=ex,求f[g(x)]和g[f(x)].设 f(x)=g(x)=ex,求f[g(x)]和g[f(x)].
设f(e^x)=x(x>0),求f(x).设$$f(e^x)=x(x>0)$$,求$$f(x)$$.
设f(x)满足方程f(x) , 求f(x)的表达式.设满足方程,求的表达式.