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Serggg [28]
2 years ago
15

Arrange the steps in the correct sequence to find the inverse function of

%5Cfrac%7B3x-15%7D%7B2%7D%20%20" id="TexFormula1" title=" f(x) = \frac{3x-15}{2} " alt=" f(x) = \frac{3x-15}{2} " align="absmiddle" class="latex-formula">

Mathematics
2 answers:
kompoz [17]2 years ago
7 0

Answer:

The answer is the attached image

Step-by-step explanation:

In order to determine the inverse of any function, we have to think that the independent variable is "y" instead of "x".

So, firstly we have to free the "x" variable:

f(x)=\frac{3*x-15}{2} \\f(x)=y\\\\y=\frac{3*x-15}{2}\\ 2*y=3*x-15\\3*x=2*y+15\\x=\frac{2*y+15}{3}

Then, we have to change the variables to the next form:

x=f^-^1(x)\\y=x

Finally, the inverse function is:

f^-^1(x)=\frac{2*x+15}{3}

I have <u>attached an image</u> with the <em>sequence of steps</em>:

kati45 [8]2 years ago
4 0

A useful first step is to swap the variables: put y where x is, and put x where y (or f(x)) is. The rest follows from there.

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iVinArrow [24]
Yay, derivitives
I'mma ignore that x is the shorter side because I don't know which one has to be shorter yet


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let's say the sides are z and y
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and the relatiionship between them is
hmm,
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because one side has no fencing
so
z+2y=1200
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sub for z in other

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expand
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so then we see our choices and noticed that
erm
I think it is f(x)=1200x-2x²
takind the derivitive yeilds none of the others


so ya, you are right
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Read 2 more answers
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Answer:

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Step-by-step explanation:

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