f(x)=2x-1,g(x)=x^2,则f[g(x)]=?,g[f(x)]=?,f[f(x)]=?,g[g(x)]=?

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/20 11:52:50
f(x)=2x-1,g(x)=x^2,则f[g(x)]=?,g[f(x)]=?,f[f(x)]=?,g[g(x)]=?

f(x)=2x-1,g(x)=x^2,则f[g(x)]=?,g[f(x)]=?,f[f(x)]=?,g[g(x)]=?
f(x)=2x-1,g(x)=x^2,则f[g(x)]=?,g[f(x)]=?,f[f(x)]=?,g[g(x)]=?

f(x)=2x-1,g(x)=x^2,则f[g(x)]=?,g[f(x)]=?,f[f(x)]=?,g[g(x)]=?
f[g(x)]=2g(x)-1=2x^2-1
g[f(x)]=[f(x)]^2=(2x-1)^2=4x^2-4x+1
f[f(x)]=2(2x-1)-1=4x-3
g[g(x)]=(x^2)^2=x^4
都是代入,就是把函数中的x换成f(x)或g(x)而已.