Transformations of Graphs - Composite Transformations

Transformations of Graphs - Composite Transformations

The curve whose equation is \({y = \ln(2-x)}\) undergoes, in succession the following transformations:
A: Translation by \({5}\) units in the positive \({x}\)-direction.
B: Scaling by a scale factor of \({\frac{1}{3}}\) parallel to the \({x}\)-axis.
C: Translation of \({5}\) units in the negative \({y}\)-direction.
D: Scaling by a scale factor of \({\frac{1}{2}}\) parallel to the \({y}\)-axis.
Find the equation of the resulting curve.

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Answer:\(y=\frac12\ln(7-3x)-\frac52\)

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