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2 years ago

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Which expressions can be added to find the volume of the solid figure? Select all that apply!

1 answer:

EastWind [94]2 years ago

5 0

The two of that apply are A and D

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How does one find the inverse function of f(x)= <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3x-1%7D" id="TexFormula1" tit

lisabon 2012 [21]

Answer:

$\displaystyle f^{-1}(x)=\frac{1+x}{3x}$

Step-by-step explanation:

<u>The Inverse of a Function</u>

The procedure to find the inverse of the function is:

* Write the function as a two-variable equation:

$\displaystyle y=\frac{1}{3x-1}$

* Solve the equation for x.

Multiply by 3x-1

$y(3x-1)=1$

Divide by y:

$\displaystyle 3x-1=\frac{1}{y}$

Sum 1:

$\displaystyle 3x=\frac{1}{y}+1$

Operate the right side:

$\displaystyle 3x=\frac{1+y}{y}$

Divide by 3:

$\displaystyle x=\frac{1+y}{3y}$

* Swap the variables:

$\displaystyle y=\frac{1+x}{3x}$

Write back into function form:

$\boxed{\displaystyle f^{-1}(x)=\frac{1+x}{3x}}$

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3 years ago

Giving f(x)=4x+1 and g(x)=×4^ choose a expression for f(g)(x)

Tcecarenko [31]

Let's say g(x) = x^4 => f(g)(x) = 4*( x^4) +1.

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3 years ago

Inverse functions

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change f(x) to y, switch _6 and y. solve for _5x_

The final function

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Step-by-step explanation:

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3 years ago

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In our case:

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