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Assume f is a one to one function of f(x)= 4-6x find f^-1(-32)​

1 Answer

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Answer:

f^-1(-32)=6

Explanation:

Find the inverse of the function f(x)=4-6x:

f(x)=4-6x

y=4-6x

x=4-6y

x-4=-6y

(x-4)/-6=y

-1/6x+2/3=y

y=-1/6x+2/3

f^-1(x)=-1/6x+2/3

Plug in f^-1(-32) for f^-1(x) and simplify:

f^-1(-32)=-1/6(-32)+2/3

f^-1(-32)=16/3+2/3

f^-1(-32)=18/3

f^-1(-32)=6

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