91Ó°ÊÓ

First, graph the equation and determine visually whether it is symmetric with respect to the \(x\) -axis, the \(y\) -axis, and the origin. Then verify your assertion algebraically. $$y=|x|-2$$

Given that \(f(x)=3 x+1, g(x)=x^{2}-2 x-6,\) and \(h(x)=x^{3},\) find each of the following. $$(f \circ h)(-3)$$

Find the variation constant and an equation of variation for the given situation. \(y\) varies directly as \(x,\) and \(y=3\) when \(x=33\).

First, graph the equation and determine visually whether it is symmetric with respect to the \(x\) -axis, the \(y\) -axis, and the origin. Then verify your assertion algebraically. $$y=|x+5|$$

Given that \(f(x)=x^{2}-3\) and \(g(x)=2 x+1,\) find each of the following, if it exists. $$(f / g)(-\sqrt{3})$$

Given that \(f(x)=3 x+1, g(x)=x^{2}-2 x-6,\) and \(h(x)=x^{3},\) find each of the following. $$(h \circ g)(3)$$

Given that \(f(x)=x^{2}-3\) and \(g(x)=2 x+1,\) find each of the following, if it exists. $$(g-f)(-1)$$

Find the variation constant and an equation of variation for the given situation. \(y\) varies directly as \(x,\) and \(y=\frac{3}{4}\) when \(x=2\).

Given that \(f(x)=3 x+1, g(x)=x^{2}-2 x-6,\) and \(h(x)=x^{3},\) find each of the following. $$(g \circ g)(-2)$$

First, graph the equation and determine visually whether it is symmetric with respect to the \(x\) -axis, the \(y\) -axis, and the origin. Then verify your assertion algebraically. $$5 y=4 x+5$$