91Ó°ÊÓ

Write a formula for the function obtained when the graph is shifted as described. \(f(x)=\frac{1}{x}\) is shifted down 4 units and to the right 3 units.

Find all function values \(f(x)\) such that the distance from \(f(x)\) to the value 8 is less than 0.03 units. Express this using absolute value notation.

For the following exercises, write a formula for the function obtained when the graph is shifted as described. \(f(x)=\frac{1}{x}\) is shifted down 4 units and to the right 3 units.

For the following exercises, find the average rate of change of each function on the interval specified for real numbers \(b\) or \(h\) in simplest form. $$ k(x)=4 x-2 \text { on }[3,3+h] $$

For the following exercises, determine the domain for each function in interval notation. Given \(f(x)=\frac{1}{x-4}\) and \(g(x)=\frac{1}{6-x},\) find \(f+g, f-g, f g,\) and \(\frac{f}{g}\)

For the following exercises, determine the domain for each function in interval notation. Given \(f(x)=3 x^{2}\) and \(g(x)=\sqrt{x-5},\) find \(f+g\) \(f-g, f g\) and \(\frac{f}{g}\)

Determine the domain for each function in interval notation. Given \(f(x)=3 x^{2}\) and \(g(x)=\sqrt{x-5},\) fi \(\mathrm{d} f+g\) \(f-g, f g,\) and \(\frac{f}{g}\)

For the following exercises, write a formula for the function obtained when the graph is shifted as described. \(f(x)=\frac{1}{x^{2}}\) is shifted up 2 units and to the left 4 un ts.

For the following exercises, find the domain of each function using interval notation. $$ f(x)=3-\sqrt{6-2 x} $$

For the following exercises, determine whether the relation represents \(y\) as a function of \(x\). $$ y=x^{2} $$