- #1

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How to find image of $f(x)= x + sinx$ about the given line $y = - x$ .

Similarly can we take image of a function about a function? OR is it necessary about which we take image should be a point, line only?

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In summary, finding the image of a function about a given line involves reflecting the function around the line. This can also be done with functions, but they may not always be explicitly solvable. The functions $f(x)= x + sinx$ and $f(x)= y + sin y$ are symmetric around $y=x$ and intersect at the point $(2\pi,2\pi)$. The area under $g$ between the limits is $2\pi^2$, resulting in an answer of $2$.

- #1

- 87

- 0

How to find image of $f(x)= x + sinx$ about the given line $y = - x$ .

Similarly can we take image of a function about a function? OR is it necessary about which we take image should be a point, line only?

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