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Question 1 of 5Find the difference quotient:
Difference Quotient: $$\frac{f(x + h) - f(x)}{h}$$ $$f(x)=4x - 1$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$4$$
B
$$4 + h$$
C
$$4x + 4h$$
D
$$(x + 4)^2$$
E
$$2x - 16$$
Question 2 of 5Find the difference quotient:
Difference Quotient: $$\frac{f(x + h) - f(x)}{h}$$ $$f(x)=9x^2 - 6x - 1$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$(x - 9h)^2$$
B
$$18x + 9h - 6$$
C
$$18x^2 - 9xh + 1$$
D
$$x^2 - 18xh - 6$$
E
$$9x - 2xh + 3$$
Question 3 of 5Find the difference quotient:
Difference Quotient: $$\frac{f(x + h) - f(x)}{h}$$ $$f(x)=x^2 - 9$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$2x - 1$$
B
$$2x^2 - h^2$$
C
$$2x - h$$
D
$$x^2 - 2x + 4$$
E
$$2x + h$$
Question 4 of 5Find the difference quotient:
Difference Quotient: $$\frac{f(x + h) - f(x)}{h}$$ $$f(x)=\frac{4}{x - 12}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\frac{-4}{(x + h - 12)(x - 12)}$$
B
$$\frac{-4xh}{(x^2 - 4)(x^2 - xh)}$$
C
$$\frac{-4}{(2x + 12xh)(x^2 - 12)}$$
D
$$\frac{-4}{x - h - 1}$$
E
$$\frac{-4x^2}{h^2(x - h)}$$
Question 5 of 5Find the difference quotient:
Difference Quotient: $$\frac{f(x + h) - f(x)}{h}$$ $$f(x)=\sqrt{x + 3}$$
Finish »
Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\frac{1}{\sqrt{x + h + 3}+ \sqrt{x + 3}}$$
B
$$\frac{\sqrt{x - h + 9}}{h}$$
C
$$\sqrt{x + h + 3}- \sqrt{x}$$
D
$$\frac{\sqrt{x + 3}}{x - h}$$
E
$$\frac{x^2\sqrt{x - 3}}{\sqrt{3(x - h)}}$$

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