1. ## Inverse funtions

For each of the following functions:
a)y = 2x + 1 b)f : R → R,f(x) = (x-1)^2 c){(x,y):y = x^2 + 1, x ε [0,∞)}

i) Find the rule of the inverse.
ii) State if the relation has an inverse funtion. State your reason

I am really stumped on this one and i dont even know where to start!!
any help would be greatly appreciated!!!

2. Originally Posted by scubasteve94
For each of the following functions:
a)y = 2x + 1 b)f : R → R,f(x) = (x-1)^2 c){(x,y):y = x^2 + 1, x ε [0,∞)}

i) Find the rule of the inverse.
ii) State if the relation has an inverse funtion. State your reason

I am really stumped on this one and i dont even know where to start!!
any help would be greatly appreciated!!!
For each question

i) The domain and range of inverse functions are swapped. So swap the x and y values.

ii) A function only has an inverse if it's one-to-one. The easiest way to tell if a function is one-to-one is to graph it and draw horizontal lines through it. If any of the horizontal lines do not touch the graph or touch the graph at more than one point, then the function is not one-to-one and can not have an inverse.