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3 years ago

14

HELP ASAP ALGEBRA 2 QUESTION PLEASE!!!

1 answer:

vesna_86 [32]3 years ago

3 0

a)
f(x) is the same as y
y=1/3 x +4

<span>to find inverse, swap and x and y:
x=1/3 y + 4
x-4= 1/3 y
(x-4) x 3 = y
3x -12= y
the inverse(g(x)), is: 3x-12

b) </span><span>if f(x) and g(x) are inverses of each other, than </span><span><span> (f<span> о </span><span>g)(x)</span></span> will end up with just "x"
</span>
<span>(f о <span>g)(x)=x
</span></span><span>(f о <span>g)(x)= f(g(x))
</span></span><span>(f о <span>g)(x)= f(3x-12)
</span></span><span>(f о <span>g)(x)= 1/3(3x-12)+4
</span></span><span>(f о <span>g)(x)= (3x-12)/3 +4
</span></span><span>(f о <span>g)(x)= x-4+4
</span></span><span>(f о <span>g)(x)= x

</span></span>c)
<span>You will find that the graphs are mirror images of each other </span>
the graph for f(x) is an oblique line that passes through the points(-12,4)
the graph for g(x) is an oblique line that passes through the points(4,-12)

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Read 2 more answers

In a naval engagement, one-third of the fleet was captured, one-sixth was sunk, and two ships were destroyed by fire. One-sevent

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Answer:

60 ships.

Step-by-step explanation:

Let the total number of ships in the naval fleet be represented by x

One-third of the fleet was captured = 1/3x

One-sixth was sunk = 1/6x

Two ships were destroyed by fire = 2

Let surviving ships be represented by y

One-seventh of the surviving ships were lost in a storm after the battle = 1/7y

Finally, the twenty-four remaining ships sailed home

The 24 remaining ships that sailed home =

y - 1/7y = 6/7y of the surviving fleet sailed home.

Hence

24 = 6/7y

24 = 6y/7

24 × 7/ 6

y = 168/6

y = 28

Therefore, total number of ships that survived is 28.

Surviving ships lost in the storm = 1/7y = 1/7 × 28 = 4

Total number of ships in the fleet(x) =

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Collect like terms

x - (1/3x + 1/6x) = 30

x - (1/2x) = 30

1/2x = 30

x = 30 ÷ 1/2

x = 30 × 2

x = 60

Therefore, ships that were in the fleet before the engagement were 60 ships.

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2 years ago

If you shift the linear parent function, f(x) = x, down 6 units, what is the equation of the new function?

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Answer:

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Step-by-step explanation:

Given : Parent function : $f(x)=x$

To Find : If you shift the linear parent function, f(x) = x, down 6 units, what is the equation of the new function?

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