#1) x!=2, y!=0
plot(1/(x-2),(0,4),ymin=-2,ymax=2)
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#2) sqrt(x+1)
#2) x+1>=0
#2) x>=-1, y>=0
plot(sqrt(x+1),(-1,10))
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#2)
solve(x+1>=0,x)
\newcommand{\Bold}[1]{\mathbf{#1}}\left[\left[x \geq \left(-1\right)\right]\right]
\newcommand{\Bold}[1]{\mathbf{#1}}\left[\left[x \geq \left(-1\right)\right]\right]
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#3)
plot(sqrt(1-x**2),(-1,1),aspect_ratio=1)
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#3)
solve(1-x**2>=0,x)
\newcommand{\Bold}[1]{\mathbf{#1}}\left[\left[x \geq \left(-1\right), x \leq 1\right]\right]
\newcommand{\Bold}[1]{\mathbf{#1}}\left[\left[x \geq \left(-1\right), x \leq 1\right]\right]
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#4) f(123)=6
#4) f(229)=13
#4) Df: 100<=x<=999, cardinality of domain = 900
#4) Rf: 1<=y<=27, cardinality of range = 27
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#5) h(n)=n**2+1
plot((x**2+1,2,5,10,17,26,37),(1,6))
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#8) f(x)=x/sqrt(1-x**2)
#8) Df: -1<x<1
#8) Rf: -inf<y<+inf
plot(x/(1-sqrt(x**2)),(-1,1))
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#9) f(g(1))=f(0)=1
#9) g(f(1))=g(-1)=-2
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