SOLUTION: find the equation of the inverse of the following function
f(x)=6/x+7
y=6/x+7
y=7x+6/x
xy-7x=6
x(y-7)=6
x=6/y-7
f(y)=6/y-7
f(x)=6/x-7
Algebra.Com
Question 767672: find the equation of the inverse of the following function
f(x)=6/x+7
y=6/x+7
y=7x+6/x
xy-7x=6
x(y-7)=6
x=6/y-7
f(y)=6/y-7
f(x)=6/x-7
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Your work:
f(x)=6/x+7
y=6/x+7
y=7x+6/x
xy-7x=6
x(y-7)=6
\ =\ \frac{6}{y\ -\ 7})
\ =\ \frac{6}{x\ -\ 7})
Yes, that is correct if the actual starting function was \ =\ \frac{6}{x}\ +\ 7)
. However, if the original function was really \ =\ \frac{6}{x\ +\ 7})
, that is a horse of a completly different color.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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