# What do I plug in for X or is that just a function? Let g(x)=3x-7 and h(x)=9x^2+1 solve (h/g)(x)

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Feb 9, 2018

To find the resulting function when one function is divided by another, all you have to do is divide the two functions and try to simplify.

$\left(\frac{h}{g}\right) \left(x\right) = \frac{h \left(x\right)}{g} \left(x\right) = \frac{9 {x}^{2} + 1}{3 x - 7}$

Using long division, you can write it in an alternate form as

$\left(\frac{h}{g}\right) \left(x\right) = 3 x + 7 + \frac{50}{3 x - 7}$

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