MAD 1101 KUP The Function R and The Horizontal Asymptote Analysis

Consider the function $R\left(x\right)=\frac{x-2}{3x+6}$

a) Write the domain for R(x)

b) Find the vertical asymptote(s) if any

c) Find the horizontal asymptote(s) if anyLet $f\left(x\right)=\sqrt{2x+1}$ and $g\left(x\right)=x-5$

a) Find $(f\circ g)\left(x\right)$

b) Is $g\left(x\right)$ a one-to-one function? Give your reasons

c) Find $g^{-1}(x)Construct\; Karnaugh\; map\; for\; the\; following\; expression\; and\; find\; the\; prime\; implicants.\; State\; which\; terms\; each\; prime\; implicant\; can\; replace.$

$xyz+x‘yz‘+x‘yz+xy‘z+x‘y‘z$

A company has found that $80\%$ of its new management hires are meeting expectations, while rest are not. Of the satisfactory hires, $75\%$ had sales experience, while of the unsatisfactory hires, $55\%$ had sales experience. What is the probability that a new hire with sales experience will meet expectations?