A straight-line graph of e2y against x2 passes through (1,8) and (4,2). Recover y in terms of x and

Question

A straight-line graph of e2y against x2 passes through (1,8) and (4,2). Recover y in terms of x and give the exact set of real x for which the law is defined.

Accepted Answer

$y=\frac12\ln(10-2x^2)$, $-\sqrt5<x<\sqrt5$.

A logarithm and its domain

A logarithm and its domain

Solution:

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