An exponential relationship away from the origin

An exponential relationship away from the origin

5 marks
TGM Original
A graph of e2y against x2 has gradient 2 and intercept -8. Find y in terms of x, its real domain, and its value when x=3.

Solution:

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Answer:\(y=\frac12\ln(2x^2-8)\); \(x<-2\) or \(x>2\); \(y(3)=\frac12\ln10\).

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