作业帮f(x)=2x-1,g(x)=x²+1,则f[g(x)]=_____,g[f(x)]=_____.
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![f(x)=2x-1,g(x)=x²+1,则f[g(x)]=_____,g[f(x)]=_____.](/uploads/image/z/15099162-42-2.jpg?t=f%28x%29%3D2x-1%2Cg%28x%29%3Dx%26%23178%3B%2B1%2C%E5%88%99f%5Bg%28x%29%5D%3D_____%2Cg%5Bf%28x%29%5D%3D_____.)
f(x)=2x-1,g(x)=x²+1,则f[g(x)]=_____,g[f(x)]=_____.
f(x)=2x-1,g(x)=x²+1,则f[g(x)]=_____,g[f(x)]=_____.
f(x)=2x-1,g(x)=x²+1,则f[g(x)]=_____,g[f(x)]=_____.
f[g(x0]
=2(x²+1)-1
=2x²+1
g[f(x)]
=(2x-1)²+1
=4x²-4x+2
f(x)=2x-1,g(x)=x²+1,则f[g(x)]=_2x²+1____,g[f(x)]=__4x²-4x+2___。
f(g(x))=2g(x)-1=2×(x²+1)-1=2x²+1
g(f(x))=[f(x)]²+1=(2x-1)²+1=4x²-4x+2