M1
2 marks · average 1.0 42% scored 0
The question in our own words · page 6
\(g(x)=e^{2x}-8e^x+7\) has a single stationary point, which is a local minimum. Keep only the part of \(g\) on \((-\infty,a]\): what is the largest \(a\) that still gives an inverse function? No calculator.
Source: VCAA 2025 VCE Mathematical Methods Examination 1, Question 5b
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