If \( f(x)=\sqrt{x+4} \) and \( g(x)=\frac{5}{x} \), then which of the following does \( (f \circ g)(x) \) equal? Choose the correct answer below. \( \frac{5}{\sqrt{x}}+4 \) \( \frac{\sqrt{\frac{5}{x+4}}}{\frac{5}{\sqrt{x+4}}} \) \( \sqrt{\frac{5}{x}+4} \)

Jse transformations to graph the function. Determine the domain, range, horizontal asymptote, and \( y \)-intercept of the function. \( (x)=3+5^{x-1} \) Use the graphing tool to graph the function. What is the domain of \( f(x)=3+5^{x-1} \) ? (Type your answer in interval notation.)

Begin with the graph of \( y=e^{x} \). Use transformations to graph the function below. Then determine its domain, range, and horizontal asymptote. \( f(x)=-8-e^{-x} \) Use the graphing tool to graph the function. (For any answer boxes shown with the grapher, type an exact answer.) What is the domain of \( f(x)=-8-e^{-x} \) ? (Type your answer in interval notation.)

Sketch the graph of a polynomial function with roots at \( 2 \) (multiplicity 1), \( -3 \) (multiplicity 2), and \( 4 \) (multiplicity 3). Describe how each root affects the shape of the graph.

List the domain and the \( x \)-and \( y \)-intercepts of the following function. Graph the function. \( f(x)=\frac{5}{x} \)

Defina como vizinhranca os confunt \( ] 2,32 ; 2,48[ \) \( \{x \in \mathbb{R}:|x+3|<0,001\} \)