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Find $g(3), g(-1), g(pi), g(-1.1)$, and $gleft(t^{2}-1 ight)$. (a) $g(x)=frac{x+1}{x-1}$ (b) $g(x)=left{egin{array}{cl}sqrt{x+1}, & x geq 1 \ 3, & x<1en...

Question

Find $g(3), g(-1), g(pi), g(-1.1)$, and $gleft(t^{2}-1 ight)$. (a) $g(x)=frac{x+1}{x-1}$ (b) $g(x)=left{egin{array}{cl}sqrt{x+1}, & x geq 1 \ 3, & x<1end{array} ight.$

Find $g(3), g(-1), g(pi), g(-1.1)$, and $gleft(t^{2}-1 ight)$. (a) $g(x)=frac{x+1}{x-1}$ (b) $g(x)=left{egin{array}{cl}sqrt{x+1}, & x geq 1 \ 3, & x<1end{array} ight.$



Answers

Let $ g(x) = \sqrt[3]{1 - x^3} $.

(a) Find $ g^{-1} $ . How is it related to $ g $?
(b) Graph $ g $. How do you explain your answer to part (a)?


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