C ConHeo97 New Member Joined Jan 28, 2014 Messages 6 Gender Undisclosed HSC 2014 Feb 16, 2014 #1 Find functions which are the inverse of each of the following. State the domain and range of the inverse in each case. 22. f(x)=x^2 + 2x, x≥0
Find functions which are the inverse of each of the following. State the domain and range of the inverse in each case. 22. f(x)=x^2 + 2x, x≥0
B braintic Well-Known Member Joined Jan 20, 2011 Messages 2,137 Gender Undisclosed HSC N/A Feb 16, 2014 #2 y = (x+1)^2 - 1 (x≥0) .... completing the square Inverse: x=(y+1)^2 - 1 (y≥0) (y+1)^2=x+1 y+1 = +/- Sqrt(x+1) y=-1 + Sqrt(x+1) .... choosing the + case to satisfy the range requirement
y = (x+1)^2 - 1 (x≥0) .... completing the square Inverse: x=(y+1)^2 - 1 (y≥0) (y+1)^2=x+1 y+1 = +/- Sqrt(x+1) y=-1 + Sqrt(x+1) .... choosing the + case to satisfy the range requirement
C ConHeo97 New Member Joined Jan 28, 2014 Messages 6 Gender Undisclosed HSC 2014 Feb 16, 2014 #3 OMG thanks so much you're the bomb! This question was going to drive me nuts. Very much appreciated.
