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difference quotient g(y)=2y^2-3y+1

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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difference quotient g=2y²−3y+1

Solution

2h+4y−3

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Solution steps

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The difference quotient of g(y) is given by g(y+h)−g(y)h

Substitute y with y+h

g(y+h)=2(y+h)²−3(y+h)+1

=2(y+h)²−3(y+h)+1−(2y²−3y+1)h

Simplify 2(y+h)²−3(y+h)+1−(2y²−3y+1)h : 2h+4y−3

=2h+4y−3

2h+4y−3

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

difference quotient g(y)=2y^2-3y+1

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