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Home Question Bank Math Pre Calculus Archive 2024 December 05

Pre-calculus Questions from Dec 05,2024

Browse the Pre-calculus Q&A Archive for Dec 05,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Find the indicated root. \[ \sqrt[8]{-1} \] Find the indicated root. \( \sqrt[8]{-1} \) Use transformations to graph the function. Determine the domain, range, horizontal asymptote, and \( y \)-intercept of the function. \( f(x)=4^{x}+5 \) Pork 5.1 For the given functions \( f(x)=\frac{5}{x+3} \) and \( g(x)=\frac{4}{x} \), find \( (a)(f \circ g)(x),(b)(g \circ f)(x),(c)(f \circ f)(x) \), (d) \( (g \circ g)(x) \). Given \( f(x)=\frac{8}{x+6} \) and \( g(x)=\sqrt[3]{x} \), find the following expressions. \( \begin{array}{llll}\text { (a) }(f \circ g)(4) & \text { (b) }(g \circ f)(2) & \text { (c) }(f \circ f)(1) & \text { (d) }(g \circ g)(0)\end{array} \) Выполни график функции \( y=\frac{\left(0,5 x^{2}+2 x\right) \cdot|x|}{x+4} \) For \( f(x)=\frac{x}{x-2} \) and \( g(x)=\frac{-5}{x} \), find the following composite functions and state the domain of each \( \begin{array}{llll}\text { (a) } f \circ g & \text { (b) } g \circ f & \text { (c) } f \circ f & \text { (d) } g \circ g\end{array} \) Sketch a graph of \( f \) \( f(x)=-3 x^{2} \) Find the vertical, horizontal, and oblique asymptotes, if any, for the given rational function. \( R(x)=\frac{20 x^{2}+27 x-14}{5 x-2} \) - Funciones exponenciales, logarítmicas \( \mathbf{y} \) trigonométricas. Ejercicio 1 Determinar el dominio de las siguientes funciones. \( \begin{array}{llll}\text { a) } g(x)=\log _{3}(3-2 x) & \text { b) } f(x)=\ln \left(x^{2}+1\right) & \text { c) } g(x)=\ln (x)+\log _{3}(3-2 x) & \text { d) } h(x)=\frac{\sqrt{x}}{\ln (x)}\end{array} \)
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