Question

f(x)=2x+5.if x is not equal to zero then find f(x+2)-f(2)/x........the answer is 2 .i want the procedure-​

Answer 1

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Answer 2

Given : $f(x)=2x+5$

To find : $\dfrac{f(x+2)-f(2)}{x}$

Solution :

If $f(x)=2x+5$

So, $f(x+2)=2(x+2)+5=2x+4+5=2x+9$

So, our expression would be :

$\dfrac{f(x+2)-f(2)}{x}=\dfrac{2x+9-(2x+5)}{x}\\\\=\dfrac{2x+9-2x-5}{x}\\\\=\dfrac{4}{x}$

Hence, the required value is $\dfrac{4}{x}$