3 years ago

Which of the statements below are true for linear functions

Mathematics

2 answers:

Virty [35]3 years ago

8 0

I need a picture to help

Studentka2010 [4]3 years ago

7 0

you need to attach a file we cannot see choices once you do i can help

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2 years ago

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:

The Inverse of a Function

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

$y(3x-1)=1$

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

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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

Which function is shown in the graph?

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2 years ago

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