For the function $f(x) = x^2 + 9$, construct and simplify the difference quotient $\frac{f(x+h) - f(x)}{h}$. The difference quotient is
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It is defined as: Δx(f(x)) = (f(x + Δx) - f(x))/Δx In this case, the function f(x) = x + 9. So we need to substitute this into the difference quotient formula: Δx(f(x)) = ((x + Δx) + 9 - (x + 9))/Δx Now we simplify the expression: Δx(f(x)) = (x + Δx + 9 - x - Show more…
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