i need help with inverses using graphs.. i don't understand how to find if the inverse of F(x) is a function.

Question

myininaya · Answer

if you have y=f(x)
solve for x and replace x with f^(-1)(x) and replace y with x

anonymous · Answer

the graph of the inverse 
$$y=f^{-1}(x)$$of a function 
$$y=f(x)$$ 
is obtained by reflecting along the line 
$$y=x$$

anonymous · Answer

for a simple example, graph 
$$y=2x-1$$ and 
$$y=\frac{x+1}{2}$$ and you have two lines reflected about y = x.  or try 
$$y=x^3-5$$
as compared to 
$$\sqrt[3]{x+5}$$

anonymous · Answer

myininaya is right in how you would find the inverse given the equation.  i was just trying to compare the graphs

anonymous · Answer

If you have a T-table, the easiest thing to do is switch the x- and y-values in the table.  Whatever the x-coordinate was will be come the y-coordinate and vice versa