find whether following function f(x) = \sqrt{1-e^{(\frac{1}{x}-1)}} is one to one or not
S stuart clark New member Joined Mar 3, 2011 Messages 25 Jun 3, 2011 #1 find whether following function \(\displaystyle f(x) = \sqrt{1-e^{(\frac{1}{x}-1)}}\) is one to one or not
find whether following function \(\displaystyle f(x) = \sqrt{1-e^{(\frac{1}{x}-1)}}\) is one to one or not
G galactus Super Moderator Staff member Joined Sep 28, 2005 Messages 7,216 Jun 3, 2011 #2 stuart clark said: find whether following function \(\displaystyle f(x) = \sqrt{1-e^{(\frac{1}{x}-1)}}\) is one to one or not Click to expand... Set \(\displaystyle \sqrt{1-e^{\frac{1}{a}-1}}=\sqrt{1-e^{\frac{1}{b}-1}}\) Solve for a. If you get a=b, it's one-to-one. Square both sides: \(\displaystyle 1-e^{\frac{1}{a}-1}=1-e^{\frac{1}{b}-1}\) Finish?.
stuart clark said: find whether following function \(\displaystyle f(x) = \sqrt{1-e^{(\frac{1}{x}-1)}}\) is one to one or not Click to expand... Set \(\displaystyle \sqrt{1-e^{\frac{1}{a}-1}}=\sqrt{1-e^{\frac{1}{b}-1}}\) Solve for a. If you get a=b, it's one-to-one. Square both sides: \(\displaystyle 1-e^{\frac{1}{a}-1}=1-e^{\frac{1}{b}-1}\) Finish?.
