Ryan M.

$37-38$ Find an equation of the tangent line to the curve at the given point. Illustrate by graphing the curve and the tangent line on the same screen.
$y=x-\sqrt{x}, \quad(1,0)$

For the following exercises, find the inverse of the function on the given domain.

$$f(x)=12-x^{2},[0, \infty)$$

For the following exercises, find the inverse of the function on the given domain.

$$f(x)=(x+1)^{2}-3,[-1, \infty)$$

For the following exercises, find the inverse of the function on the given domain.

$$f(x)=(x-4)^{2},[4, \infty)$$

For the following exercises, find the inverse of the functions.

$$f(x)=\sqrt{6 x-8}+5$$

For the following exercises, find the inverse of the functions.

$$f(x)=\sqrt{3-4 x}$$