f(x)= 2x-2, graph just f

Question

anonymous · Answer

$$y=2x-2$$ is a line with slope $2$ and $y$ intercept $-2$

anonymous · Answer

What is an inverse function ?

anonymous · Answer

this a general question?

anonymous · Answer

given a one to one function $f$ then the inverse $f^{-1}$ is the function for which 
$$f\circ f^{-1}(x)=f^{-1}\circ f(x)=x$$ 
put another way, if $f(a)=b$ then $f^{-1}(b)=a$

anonymous · Answer

No, I would like to know so I can understand my questions for math better

anonymous · Answer

lets use the example of your function 
$$f(x)=2x-2$$
then since 
$$f(3)=2\times 3-2=4$$ we would have 
$$f^{-1}(4)=3$$

anonymous · Answer

and in fact we could find the inverse easily 
if you start with 
$$y=2x-2$$ and switch $x$ and $y$ , which is what the inverse does, you would get 
$$x=2y-2$$
solving for $y$ igve s
$$x=2y-2\x+2=2y\
y=\frac{x+2}{2}=\frac{1}{2}x+1$$

anonymous · Answer

Where did u get the three for f(3)?

anonymous · Answer

i made it up

anonymous · Answer

it was an example in other words