SOLUTION: For the real-valued functions f(x)=2x+1 and g(x)=sqrt(x-1), find the composition f o g and specify its domain using interval notation.

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Question 457870: For the real-valued functions f(x)=2x+1 and g(x)=sqrt(x-1), find the composition f o g and specify its domain using interval notation.
Answer by lwsshak3(11628) About Me  (Show Source):
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For the real-valued functions f(x)=2x+1 and g(x)=sqrt(x-1), find the composition f o g and specify its domain using interval notation.
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f(x)=2x+1
g(x)=sqrt(x-1)
fog(x)=f[g(x)]=2√(x-1)+1
restriction in sqrt
x-1≥0
x≥1
domain:[1,∞)