Question 66156
{{{f(x)=x^2}}}, g(x)=x-1, {{{ h(x)=sqrt(x)

a. give the domain and range of each function
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f domain: all Real Numbers
f range: all Real Numbers greater than or equal to zero
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g domain: all Real
g range: all real
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h domain: all real greater than or equal to zero
h range: all real greater than or equal to zero
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b. for each function that has an inverse, find the inverse) 
f: no inverse
g: y=x+1
h: y=(x)^2, x>-0

c. two of the six composite functions that can be formed using all three functions that can be formed are {{{r(x)=sqrt(x^2-1)}}} {{{s(x)=(sqrt(x)-1)^2}}}
express r and s in terms of f, g, and h.
r(x)=h[g(f(x)]
s(x)=f[g(h(x))]
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Cheers,
Stan H.