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Ray Of Light [21]
3 years ago
11

Simplify...... (U^2)^3

Mathematics
1 answer:
pochemuha3 years ago
5 0
(U^{2})^{3} = U^{2*3} = U^{6}
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For the function f(x) = 6x+1 , evaluate and simplify the difference quotient
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For a given function f(x), we define the difference quotient as:

\frac{f(x + h) - f(x)}{h}

We will get that the difference quotient is equal to 6.

Here we have the function:

f(x) = 6*x + 1

The difference quotient will be:

\frac{f(x + h) - f(x)}{h} = \frac{6*(x + h) + 1 - (6*x + 1)}{h}

Now let's simplify it:

\frac{6*(x + h) + 1 - (6*x + 1)}{h}  =  \frac{6*x + 6*h + 1 - 6*x - 1}{h}  = \frac{6*h}{h} = 6

Now, we also are asked to evaluate it, but as you can see, the <u>difference quotient is constant</u>, thus we can't actually <u>evaluate it, as it will always be equal to 6.</u>

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Step-by-step explanation:

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