2 years ago

Please help me with my homework!!! Number 4

Mathematics

1 answer:

grigory [225]2 years ago

7 0

Ill say about $
1125 over 5 years

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Find the difference quotient <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bf%28x%20%2B%20h%29%20-%20f%28x%29%7D%7Bh%7D" id="TexFor

AlladinOne [14]

Answer:

$-2x - h - 3$

Step-by-step explanation:

Step 1: Define

Difference Quotient: $\frac{f(x+h)-f(x)}{h}$

f(x) = -x² - 3x + 1

f(x + h) means that x = (x + h)

f(x) is just the normal function

Step 2: Find difference quotient

Substitute: $\frac{[-(x+h)^2-3(x+h)+1]-(-x^2-3x+1)}{h}$
Expand and Distribute: $\frac{[-(x^2+2hx+h^2)-3x-3h+1]+x^2+3x-1}{h}$
Distribute: $\frac{-x^2-2hx-h^2-3x-3h+1+x^2+3x-1}{h}$
Combine like terms: $\frac{-2hx-h^2-3h}{h}$
Factor out h: $\frac{h(-2x-h-3)}{h}$
Simplify: $-2x - h - 3$

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