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1 vote
Inverse f(x)=x+6/x-5,x=5

User Albin Anke
by
4.5k points

1 Answer

2 votes

Answer:
(x+5+√(x^2+10x+1))/(2),\:(x+5-√(x^2+10x+1))/(2)

Steps:


1.{A\:function\:g\:is\:the\:inverse\:of\:function\:f\:if\:for}\:y=f\left(x\right),\:\:x=g\left(y\right)\:

2. Replace x with y:
x=y+(6)/(y)-5

3. Solve for y, x = y +
(6)/(5) - 5. This will get you the correct answer.

User Vanji
by
4.5k points