3 years ago

Which rational number does not have a reciprocal

1 answer:

8 0

Answer:

the rational numbers that doesn’t have a reciprocal are [math]0 [/math] (which can also be expressed as [math]\frac {0} {x}, x \neq 0 [/math] ), and any number of the form [math]\frac {x} {0} [/math].

Step-by-step explanation:

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3 years ago

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

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Answer:

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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: $\frac{-x^2-2hx-h^2-3x-3h+1+x^2+3x-1}{h}$
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