91Ó°ÊÓ

(a) find the center-radius form of the equation of each circle, and (b) graph it. $$\text { center }(\sqrt{2}, \sqrt{2}), \text { radius } \sqrt{2}$$

For the pair of functions defined, find \((f+g)(x),(f-g)(x),(f g)(x),\) and \(\left(\frac{f}{g}\right)(x)\) Give the domain of each. $$f(x)=4 x^{2}+2 x, g(x)=x^{2}-3 x+2$$

(a) find the center-radius form of the equation of each circle, and (b) graph it. $$\text { center }(-\sqrt{3},-\sqrt{3}), \text { radius } \sqrt{3}$$

Graph each linear function. Identify any constant functions. Give the domain and range. $$f(x)=-2 x$$

For the points \(P\) and \(Q,\) find ( \(a\) ) the distance \(d(P, Q)\) and ( \(b\) ) the coordinates of the midpoint of the segment \(P Q .\) See Examples 2 and \(5(a)\) $$P(8,2), Q(3,5)$$

Graph each linear function. Identify any constant functions. Give the domain and range. $$f(x)=-4$$

For the pair of functions defined, find \((f+g)(x),(f-g)(x),(f g)(x),\) and \(\left(\frac{f}{g}\right)(x)\) Give the domain of each. $$f(x)=\sqrt{4 x-1}, g(x)=\frac{1}{x}$$

For the pair of functions defined, find \((f+g)(x),(f-g)(x),(f g)(x),\) and \(\left(\frac{f}{g}\right)(x)\) Give the domain of each. $$f(x)=\sqrt{5 x-4}, g(x)=-\frac{1}{x}$$+

For the points \(P\) and \(Q,\) find ( \(a\) ) the distance \(d(P, Q)\) and ( \(b\) ) the coordinates of the midpoint of the segment \(P Q .\) See Examples 2 and \(5(a)\) $$P(-8,4), Q(3,-5)$$

Graph each linear function. Identify any constant functions. Give the domain and range. $$f(x)=3$$