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artcher [175]
3 years ago
9

If f(x)= x2/x+3, find f(x+h)?

Mathematics
1 answer:
kompoz [17]3 years ago
6 0

f(x+h) =  \frac{x^{2}+2xh+h^{2}  }{x+h+3}

Step-by-step explanation:

Given,

f(x) = \frac{x^{2} }{x+3}

To find the value of f(x+h) we need to replace x by x+h

Hence,

f(x+h) = \frac{(x+h)^{2} }{x+h+3}

= \frac{x^{2}+2xh+h^{2}  }{x+h+3}

[Here, we apply the formula of (a+b)^{2}= a^{2} +2ab+ b^{2}]

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