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stealth61 [152]
3 years ago
6

Find the inverse of f(x)= -x + 3

Mathematics
1 answer:
inna [77]3 years ago
4 0
Let g the inverse function of f.

The most important property of g and f being inverses of each other, is that 

g(f(x))=x,      also f(g(x))=x

so, what one function 'does' to x, the other 'undoes' it.



Thus, we have:

f(g(x))=x      and alos   f(g(x))= -g(x)+3, from the rule


thus : 

-g(x)+3=x

-g(x)=x-3

g(x)=-x+3


check: f(g(x))=f(-x+3)=-(-x+3)+3=x-3+3=x


Answer: the inverse of f is g, such that g(x)=-x+3
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storchak [24]

Answer:

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Step-by-step explanation:

we know that

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the formula to calculate the distance between two points is equal to

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we have

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step 1

Find the distance PQ

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substitute in the formula

d=\sqrt{(3-4)^{2}+(2-2)^{2}}

d=\sqrt{(-1)^{2}+(0)^{2}}

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step 2

Find the distance QR

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substitute in the formula

d=\sqrt{(-2-3)^{2}+(-2-2)^{2}}

d=\sqrt{(-5)^{2}+(-4)^{2}}

dQR=\sqrt{41}\ units

step 3

Find the distance RS

R(-2,-2), and S(-2,3)

substitute in the formula

d=\sqrt{(3+2)^{2}+(-2+2)^{2}}

d=\sqrt{(5)^{2}+(0)^{2}}

dRS=5\ units

step 4

Find the distance PS

P(2,4), S(-2,3)

substitute in the formula

d=\sqrt{(3-4)^{2}+(-2-2)^{2}}

d=\sqrt{(-1)^{2}+(-4)^{2}}

dPS=\sqrt{17}\ units

step 5

Find the perimeter

P=PQ+QR+RS+PS

substitute the values

P=1+\sqrt{41}+5+\sqrt{17}

P=6+\sqrt{41}+\sqrt{17}

P=16.53\ units

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How I did it
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Step-by-step explanation:

It looks like you have ...

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