Chapter 5: Q 8. (page 267)

If $f^{- 1}$ denotes the inverse of a function $f$ , then the graphs of $f$ and $f^{- 1}$ are symmetric with respect to the line $\dots \dots$

Short Answer

Expert verified

If $f^{- 1}$ denotes the inverse of a function $f$ , then the graph of $f$ and $f^{- 1}$ are symmetric with respect to the line $y = x$ .

Step by step solution

Step 1. Definition

The inverse function is a function obtained by reversing the given function. The domain and range of the given function are changed as the range and domain .

Step 2. Explanation

If $(a, b)$ is a point on the graph of a function $f$ then $(b, a)$ is a point on the graph of its inverse.

Furthermore, the two graphs will be symmetric about the line $y = x$ have symmetry when graphed on the same set of axes.

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If $f^{- 1}$ denotes the inverse of a function $f$ , then the graphs of $f$ and $f^{- 1}$ are symmetric with respect to the line $\dots \dots$

Short Answer

Step by step solution

Step 1. Definition

Step 2. Explanation

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If f-1denotes the inverse of a function f, then the graphs of f andf-1 are symmetric with respect to the line……

Short Answer

Step by step solution

Step 1. Definition

Step 2. Explanation

One App. One Place for Learning.

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If $f^{- 1}$ denotes the inverse of a function $f$ , then the graphs of $f$ and $f^{- 1}$ are symmetric with respect to the line $\dots \dots$