Sketch the graph of the exponential function \( g(x) = 3^{x-1} + 2 \), indicating its asymptote.

Sketch the graph of the exponential function \( g(x) = 3^{x-1} + 2 \), indicating its asymptote.

\( 3^{\circ} \) ) Dadas las siguientes funciones, hallar el Dominio de la función compuesta ( f o g ): \( f(x)=\frac{1}{\sqrt{x}} ; \quad g_{(x)}=x^{2}-x-2 \)

Determine the implied domain of the following function. Express your answer in interval notation. \[ h(x)=\frac{3 x^{2}-7 x}{x^{2}+3 x-4} \]

Determine the implied domain of the following function. Express your answer in intel \[ h(x)=\frac{7 x^{2}-3 x}{x^{2}+14 x+45} \]

\( f(x)=x^{2}-1 \) intervalo \( [1,4] \)