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Given f(x)=5x+square root 7, compute f(x)-f(-2)/x-(-2). Assume x does not equal to -2. Show all work. I do not understand this function equation, as I am used to having 0's as something not equal to. Help is greatly appreciated.
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\[f(x)=5x+\sqrt{7}\]\[f(-2)=-10+\sqrt{7}\]\[\frac{f(x)-f(-2)}{x-(-2)}=\frac{f(x)+10-\sqrt{7}}{x+2}\]
\[\Large\frac{f(x)-f(-2)}{x-(-2)}=\frac{5x+\sqrt7+10-\sqrt7}{x+2}=\frac{5x+10}{x+2}=5\]
thanks guys for your help!
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