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BabaBlast [244]
3 years ago
14

What is the inverse of g(n) = -5n - 5​

Mathematics
2 answers:
lozanna [386]3 years ago
4 0

y=-5n-5

switch the signs to find inverse and solve for y

n=5y-5

n+5=5y

divide by 5

1/5n+1=y

that's your inverse my dude

zzz [600]3 years ago
3 0

Answer:

<u>-n - 5</u>

f^-1(x) = 5 or (-n - 5)/5

Step-by-step explanation:

g(n) = -5n - 5

RS | SR

Replace: y = -5n - 5

Switch n & y: n = -5n - 5

Solve for y:

n = -5y - 5. Isolate y

+5 +5

-1(n + 5) = (-5y) -1 Multiply each side by

-1 so that y isn't

negative.

<u>-n - 5</u> = <u>5y</u> Divide 5 on each side. 5

5 5 comes from 5y

<u>-n - 5</u>

y = 5

Replace y with f^-1(x):

<u>-n</u><u> </u><u>-</u><u> </u><u>5</u>

f^-1(x) = 5

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This is a system of equations.  The first equation represents the tank being emptied and the second equation represents the tank being filled:

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To solve this system of equations, we will use substitution. The second equation says that k is equal to 14t, so we can substitute 14t for k in the first equation.

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3 years ago
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Answer:

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