In Exercises $87-92,$ find the difference quotient and simplify your answer. $$ g(x)=3 x-1, \quad \frac{g(x+h)-g(x)}{h}, \quad h \neq 0 $$
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To do this, we replace $x$ with $(x+h)$ in the expression for $g(x)$: $$g(x+h) = 3(x+h) - 1$$ Now, we can find $g(x+h) - g(x)$: $$g(x+h) - g(x) = [3(x+h) - 1] - (3x - 1)$$ Simplify the expression: Show more…
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In Exercises $87-92,$ find the difference quotient and simplify your answer. $$ f(x)=x^{3}+x, \quad \frac{f(x+h)-f(x)}{h}, \quad h \neq 0 $$
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