91Ó°ÊÓ

The functions are all one-to-one. For each function, a. Find an equation for \(f^{-1}(x),\) the inverse function. b. Verify that your equation is correct by showing that $$f\left(f^{-1}(x)\right)=x \text { and } f^{-1}(f(x))=x$$ $$ f(x)=x+5 $$

Find the distance between each pair of points. If necessary, round answers to two decimals places. $$(2.6,1.3)\( and \)(1.6,-5.7)$$

Find the distance between each pair of points. If necessary, round answers to two decimals places. $$(0,-\sqrt{3})\( and \)(\sqrt{5}, 0)$$

Find the domain of each function. $$ h(x)-\frac{4}{\frac{3}{x}-1} $$

Use the given conditions to write an equation for each line in point-slope form and slope-intercept form. Slope \(-6,\) passing through \((-2,5)\)

The functions are all one-to-one. For each function, a. Find an equation for \(f^{-1}(x),\) the inverse function. b. Verify that your equation is correct by showing that $$f\left(f^{-1}(x)\right)=x \text { and } f^{-1}(f(x))=x$$ $$ f(x)=2 x $$

determine whether each equation defines y as a function of \(x .\) $$ x^{2}+y-16 $$

Find the distance between each pair of points. If necessary, round answers to two decimals places. $$(0,-\sqrt{2})\( and \)(\sqrt{7}, 0)$$

Find the domain of each function. $$ h(x)-\frac{5}{\frac{4}{x}-1} $$

The functions are all one-to-one. For each function, a. Find an equation for \(f^{-1}(x),\) the inverse function. b. Verify that your equation is correct by showing that $$f\left(f^{-1}(x)\right)=x \text { and } f^{-1}(f(x))=x$$ $$ f(x)=4 x $$