यदि \( g(x) = 2^{x} \), तो इसके इनवर्स फ़ंक्शन की पहचान करें और उसका डोमेन तथा रेंज लिखिए।

16 Find the horizontal asymptote, if any, of the graph of the rational function. \( h(x)=\frac{4 x^{3}}{2 x^{2}+1} \)

The population of a town is currently 20,000 and is growing at a rate of 5% per year. Write an exponential function that models the population growth over time.

\( f ( x ) = x + \frac { 1 } { x } \rightarrow f ( 1 ) , f ( - 1 ) , f ( 2 ) , f ( \frac { 1 } { 2 } ) \)

\( \mid \leqslant \quad \) Find the horizontal asymptote, if any, of the graph of the rational function. \( f(x)=\frac{-5 x-3}{2 x+2} \)

\( 1 \leftarrow \quad \) Find the vertical asymptotes, if any, of the graph of the rational function. \[ g(x)=\frac{x}{x^{2}-1} \]