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if f(x)=1/x, find f(x+h)
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The meaning of f(x) = 1/x is that for everything inside the parentheses, you plop that expression right into everywhere you see x. The notation is confusing but just redefine it as f(z) = 1/z. There's nothing wrong with that. so now evaluate f(z) when z = x+h. So, f(x+h) = 1/(x+h), simple as that.
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