Math  /  Algebra

QuestionHW\#6 Part 2 of 2 points Points: 0.5 of 1 Save
The following function is one-to-one. Find the inverse of the function and graph the function and its inverse on the same set of axes. f(x)=2x+3f1(x)=x32\begin{array}{r} f(x)=2 x+3 \\ f^{-1}(x)=\frac{x-3}{2} \end{array} (Type a simplified fraction.) Use the graphing tool to graph the function and its inverse. View an example Get more help - Clear all

Studdy Solution
Verify that the graphs are reflections over the line y=x y = x .
1. Draw the line y=x y = x .
2. Check that each point on f(x) f(x) corresponds to a reflected point on f1(x) f^{-1}(x) .

The inverse function is:
f1(x)=x32 f^{-1}(x) = \frac{x-3}{2}

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