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Lisa [10]
4 years ago
7

Inverse of functions

Mathematics
1 answer:
marta [7]4 years ago
8 0
To find the inverse of a function, replace all the x's with y's and all the y's with x's.

y= -3v(x+7) + 10

x= -3v(y+7) + 10

Now that we have a new function, we solve for y.

x-10= -3v(y+7)
-x-10=3v(y+7)
(-x-10)^3=y+7
y=(-x-10)^3 - 7

Now we have the inverse function.
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Order the following from least to greatest.<br>1/16<br>.0173<br>1/7<br>2.2<br>-0.25​
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Step-by-step explanation:

We are given an algebraic equation in which we need to solve for x.

We can use several properties and algebraic methods to solve this equation.

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Firstly, we want to use the distributive property to evaluate the first term in the equation: -6(x - 3).

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Then, we can combine our terms with variables.

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Now, we can use the subtraction property of equality which states that if we subtract a term from one side of an equation, we must also subtract it from the opposite side. Therefore, we want to get x by itself, so we can subtract 21 from both sides using the subtraction property of equality to do this.

-5x + 21 = -9\\\\-5x + 21 - 21 = -9 -21\\\\-5x = -30

Finally, we can use the division property of equality and divide both sides of the equation by -5 to isolate x.

\displaystyle -5x = -30\\\\\frac{-5x}{-5} = \frac{-30}{-5}\\\\x = 6

Therefore, by solving the multi-step equation, we solved that x = 6.

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3 years ago
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