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denis-greek [22]
2 years ago
14

For j(x) = 5x − 3, find j of the quantity x plus h end quantity minus j of x all over h.

Mathematics
1 answer:
Fudgin [204]2 years ago
3 0

We will see that the difference quotient of the given function is 5.

<h3><u>How to find the difference quotient?</u></h3>

Here we want to find the difference quotient for the given function.

First, remember that the difference quotient is given by:

\lim_{h \to 0} \frac{f(x +h) - f(x)}{h}

Now we want this for the function:

j(x) = 5x - 3

Then we will have:

\lim_{h \to 0} \frac{j(x +h) - j(x)}{h}\\\\\lim_{h \to 0} \frac{5*(x + h) -3 - 5*x + 3}{h}\\\\\lim_{h \to 0} \frac{5x + 5h - 3 - 5x + 3}{h}\\\\\lim_{h \to 0} \frac{5h}{h} = 5

So the difference quotient of j(x) is 5.

If you want to learn more about difference quotients, you can read:

brainly.com/question/15166834

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