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In Exercises 11 - 16, use back-substitution to solve the system of linear equations.

$ \left\{\begin{array}{l}4x - 2y + z = 8\\ \hspace{1cm} -y + z = 4\\ \hspace{1cm} \hspace{1cm} z = 11\end{array}\right. $

Give the domain of each function defined as follows.$$f(x)=\sqrt{\left(25-x^{2}\right)}$$

Give the domain of each function defined as follows.$$f(x)=(x-1)^{1 / 2}$$

Give the domain of each function defined as follows.$$f(x)=\frac{3}{\left(36-x^{2}\right)}$$

Give the domain of each function defined as follows.$$f(x)=\frac{1}{\sqrt{3 x^{2}+2 x-1}}$$

Let $f(x)=6 x^{2}-2$ and $g(x)=x^{2}-2 x+5$ to find the following values.$$f(t+1)$$