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What is the inverse of f(x)=6/x+2​

User Yashdosi
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1 Answer

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18 votes

Answer:

I believe the answer would be f^-1(x)=-6/2-x

Explanation:

f(x)=6/x+2 (use substitution)

y=6/x+2 (interchange the variables)

x=6/y+2 (swap the sides)

6/y+2=x (multiply both sides)

6+2y=xy (move the terms)

2y-xy=-6 (factor the expression)

(2-x)y=-6 (divide both sides)

y=-6/2-x (use substitution)

solution: f^-1(x)=-6/2-x

I hope this is correct and it helps! :)

User Mourad M
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