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Mathematics 7 Online
OpenStudy (anonymous):

Given f (x) = x/(x2 - 4), find and simplify f (3x).

OpenStudy (anonymous):

Just replace x by 3x wherever it occurs

OpenStudy (anonymous):

Right, is it possible to simplify that after replacing x with 3x?

OpenStudy (anonymous):

denominator is a diff of squares?

OpenStudy (anonymous):

Is that a yes?

OpenStudy (anonymous):

Is it possible to simplify that equation?

ganeshie8 (ganeshie8):

i got 0 after simplification !!

OpenStudy (asnaseer):

@CaptainMathNoob write out what you ended up with after replacing x with 3x. We can then advise you on whether or not it can be simplified further.

OpenStudy (anonymous):

Seems like a pointless exercise, but ok. 3x/(3x^2-4)

OpenStudy (anonymous):

@asnaseer done.

OpenStudy (asnaseer):

ok, looks like you made a small mistake there. you should replace x^2 with (3x)^2 to get:\[\frac{3x}{(3x)^2-4}\]and this can be simplified a little by expanding the \((3x)^2\) term to get:\[\frac{3x}{9x^2-4}\]

OpenStudy (anonymous):

Ahhh... thanks.

OpenStudy (asnaseer):

yw :)

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