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Shalnov [3]
2 years ago
9

What is the inverse of the function f(x) = 2x + 1?

Mathematics
1 answer:
Liula [17]2 years ago
4 0

<em><u>Inverse</u></em><em><u> </u></em><em><u>Of</u></em><em><u> </u></em><em><u>Functions</u></em>

I use a certain way to find the inverse of a function.

Replace H(x) with y.

y=2x+1

Replace y and x.

x=2y+1

Find y.

x-1=2y

Divide both sides by two.

x-1/2=y

<em>The</em><em> </em><em>Answer</em><em> </em><em>Is</em>

<em>h^{ - 1} (x) =  \frac{x - 1}{2}</em>

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Write the equation of the line for the following table of values.
Luda [366]

Answer:

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Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

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Given the data table

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From the table taking two points

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Determining the slope between (-3, -16) and (-5, -26)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-3,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-26\right)

m=\frac{-26-\left(-16\right)}{-5-\left(-3\right)}

m=5

Thus, the slope of the line is:  m = 5

substituting m = 5 and (-3, -16) in the slope-intercept form of the line equation  to determine the y-intercept b

y = mx+b

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b = -16+15

b = 1

Thus, the y-intercept b = 1

now substituting m = 5 and b = 1 in the slope-intercept form of the line equation

y = mx+b

y = 5x + 1

Therefore, we conclude that the equation of the line is:

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3 years ago
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See attached picture.

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When we do that, we get x² + 5x.  Subtracting this from the dividend, we get -9x + 11.

Now repeat the process.  Compare the highest term of the new dividend (-9x) to the highest term of the divisor (x).  We need to multiply by -9.

When we do that, we get -9x − 45.  When we subtract from the new dividend, we get 56.

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Answer:

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Step-by-step explanation:

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Answer:

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