Question

2uestions 1 and 2 concem the two functions $ f $ and $ g $, whene \[ \begin{array}{l} f(x)=\frac{x-1}{x+5}, \\ g(x)=\frac{-5 x-1}{x-1}, \end{array} \] \[ \operatorname{dom} f=\operatorname{ran} g=(\alpha, \infty) \backslash\{-5\} . \] 1. (a) Find the domain of $ g $ algebraically. Show all steps in your working, and present your answers using bracket notation for intervals. (b) Use Desmos to plot the graphs of $ f $ and $ g $ on sepurate aves and attach a screenshot of each plot. Ensure all important features are included and that appropriate labels are included (and not handwritten).

          2uestions 1 and 2 concem the two functions \( f \) and \( g \), whene
\[
\begin{array}{l}
f(x)=\frac{x-1}{x+5}, \\
g(x)=\frac{-5 x-1}{x-1},
\end{array}
\]
\[
\operatorname{dom} f=\operatorname{ran} g=(\alpha, \infty) \backslash\{-5\} .
\]
1. (a) Find the domain of \( g \) algebraically. Show all steps in your working, and present your answers using bracket notation for intervals.
(b) Use Desmos to plot the graphs of \( f \) and \( g \) on sepurate aves and attach a screenshot of each plot. Ensure all important features are included and that appropriate labels are included (and not handwritten).

$2uestions 1 and 2 concem the two functions f and g, whene f(x)=(x-1)/(x+5), g(x)=(-5 x-1)/(x-1), dom f=ran g=(α, ∞) \{-5} . 1. (a) Find the domain of g algebraically. Show all steps in your working, and present your answers using bracket notation for intervals. (b) Use Desmos to plot the graphs of f and g on sepurate aves and attach a screenshot of each plot. Ensure all important features are included and that appropriate labels are included (and not handwritten).$

Added by Kaur K.

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