91Ó°ÊÓ

Determine \((f \circ g)(x)\) and \((g \circ f)(x)\) for each pair of functions. Also specify the domain of \((f \circ g)(x)\) and \((g \circ f)(x)\). (Objective 1\()\) \(f(x)=-2 x+4\) and \(g(x)=2 x^{2}-1\)

Graph each of the following linear and quadratic functions. $$f(x)=-4 x$$

Translate each statement of variation into an equation, and use \(k\) as the constant of variation. At a constant temperature, the volume \((V)\) of a gas varies inversely as the pressure \((P)\).

Graph each of the functions. $$f(x)=x^{3}-2$$

Graph each of the following linear and quadratic functions. $$f(x)=-(x+1)^{2}-2$$

Determine \((f \circ g)(x)\) and \((g \circ f)(x)\) for each pair of functions. Also specify the domain of \((f \circ g)(x)\) and \((g \circ f)(x)\). (Objective 1\()\) \(f(x)=2 x^{2}-x+2\) and \(g(x)=-x+3\)

Translate each statement of variation into an equation, and use \(k\) as the constant of variation. The surface area \((S)\) of a cube varies directly as the square of the length of an edge \((e)\).

Specify the domain and the range for each relation. Also state whether or not the relation is a function. $$\\{(x, y) \mid 5 x-2 y=6\\}$$

Translate each statement of variation into an equation, and use \(k\) as the constant of variation. The intensity of illumination \((I)\) received from a source of light is inversely proportional to the square of the distance \((d)\) from the source.

Specify the domain and the range for each relation. Also state whether or not the relation is a function. $$\\{(x, y) \mid y=-3 x\\}$$