Mathematics

Mathematics

Problem

The function

g(x)

results when

y = \frac{1}{x}

is transformed by a translation through

\begin{pmatrix} -1 \\ 2 \end{pmatrix}

followed by a reflection in the

y

-axis. a. Write an expression for

g(x)

in the form

g(x) = \frac{ax + b}{cx + d}

. b. Find the asymptotes of

y = g(x)

. c. State the domain and range of

g(x)

. d. Sketch

y = g(x)

.

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