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Mathematics 17 Online
OpenStudy (korosh23):

Pre-calculus 12 question!

OpenStudy (anonymous):

Whats the question

OpenStudy (korosh23):

One second

OpenStudy (korosh23):

OpenStudy (korosh23):

It is about relation and inverse of relation

OpenStudy (korosh23):

What I am wondering is how the two lines in the graph are inverses of each other?

OpenStudy (anonymous):

Do u understand the inverse function?

OpenStudy (korosh23):

yes

ganeshie8 (ganeshie8):

If \((a,b)\) is a point on \(f(x)\), then \((b,a)\) will be a point on its inverse.

OpenStudy (korosh23):

exactly

ganeshie8 (ganeshie8):

Next, recall the transformation rule for reflection over line \(y=x\) : \[(x,y)\longrightarrow (y,x)\]

OpenStudy (anonymous):

i dont understand. if you understand the inverse function, why wouldn't the graph make sense?

ganeshie8 (ganeshie8):

so, if two graphs are "symmetric" about the straight line \(y=x\), then they must be inverses of each other

OpenStudy (korosh23):

I don't understand the shape of the graph, how can you tell if it is inverse?

OpenStudy (korosh23):

oh I get it know @ganeshie8

ganeshie8 (ganeshie8):

lets do couple of quick examples maybe

OpenStudy (korosh23):

sure

ganeshie8 (ganeshie8):

lets find inverse of below graph : |dw:1439961068302:dw|

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