Stanley Klein
07/20/2024 · Elementary School
The function \( f(x)=2^{x-3}+5 \) is graphed below. Use the reflection about the line \( y=x \) to graph the inverse function \( y=f^{-1}(x) \) on the same plane. To graph, put a point on the vertical asymptote of the inverse, and then plot 2 points on the graph.
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The inverse function \( f^{-1}(x) \) is \( \log_2(x - 5) + 3 \). The vertical asymptote is at \( x = 5 \). Points on the graph include \( (6, 3) \) and \( (7, 4) \).
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