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Mathematics 18 Online
OpenStudy (anonymous):

f(x+h)

OpenStudy (anonymous):

@Michele_Laino

OpenStudy (anonymous):

If f(x) =

OpenStudy (anonymous):

\[\frac{ x^2 }{ x+3 }\]

OpenStudy (anonymous):

find f(x + h).

OpenStudy (anonymous):

hey

OpenStudy (michele_laino):

Hi!

OpenStudy (anonymous):

dont you plug in x+h for everywhere you see x?

OpenStudy (michele_laino):

we have to replace x with x+h, so we get: \[\Large f\left( {x + h} \right) = \frac{{{{\left( {x + h} \right)}^2}}}{{\left( {x + h + 3} \right)}} = ...?\]

OpenStudy (anonymous):

\[\frac{ x^2+h^2 }{ x+3+h}\]

OpenStudy (michele_laino):

hint: \[\Large{\left( {x + h} \right)^2} = {x^2} + {h^2} + 2xh\]

OpenStudy (anonymous):

\[\frac{ x^2+h^2+2hx }{ x+3+h}\]

OpenStudy (michele_laino):

that's right!

OpenStudy (anonymous):

cool

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