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Chapter 5: Q. 4 (page 351)

If the point (3, -5) is on the graph of a one-to-one function f, what point must be on the graph of f -1 ?

Short Answer

Expert verified

(-5,3)point must be on the graph of f -1

Step by step solution

01

Step 1. Given Information

If the point (3,-5) is on the graph of a one-to-one function f

We want to know what point must be on the graph of f -1

02

Step 2. Solution

The graph of the inverse function is symmetric with respect to the bisector of the 1st and 3rd quadrants (symmetric with respect to the line y=x ).

Therefore, we will get inverse of the function by changing the x and y values in pair.

Conclusion: Point (-5,3)is on the graph of the inverse function f-1 .

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