The function $$ f(x)=2^{x-1} $$ is graphed below. Use the reflection about the line $$ y=x $$ to graph the inverse function $$ y=f^{-1}(x) $$ on the same plane. First place a point on the asymptote and then plot two points on the curve.

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The inverse function $$ f^{-1}(x) $$ is $$ \log_2(x) + 1 $$. Plot the points $$ (0, 1) $$, $$ (1, 1) $$, $$ (2, 2) $$, and $$ (4, 3) $$ on the graph, and connect them smoothly.

The function \( f(x)=2^{x-1} \) is graphed below. Use the reflection about the line \( y=x \) to graph the inverse function \( y=f^{-1}(x) \) on the same plane. First place a point on the asymptote and then plot two points on the curve.

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The function \( f(x)=2^{x-1} \) is graphed below. Use the reflection about the line \( y=x \) to graph the inverse function \( y=f^{-1}(x) \) on the same plane. First place a point on the asymptote and then plot two points on the curve.

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