SOLUTION: The function f(x)=7x+2/x-3, x≠3, is one-to-one. Find an equation for f^-1(x), the inverse function.
Algebra.Com
Question 1160895: The function f(x)=7x+2/x-3, x≠3, is one-to-one. Find an equation for f^-1(x), the inverse function.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The function f(x)=7x+2/x-3, x≠3, is one-to-one.
Find an equation for f^-1(x), the inverse function.
:
y =
swap x and y and solve for y
x =
multiply both sides by (y-3), cancels out the left side
x(y-3) = 7y + 2
distribute x
xy - 3x = 7y + 2
add 3x to both sides, subtract 7y from both sides
xy - 7y = 3x + 2
factor out y
y(x-7) = 3x + 2
divide both sides by (x-7)
y = is the inverse function
RELATED QUESTIONS
The function f(x)=7x+3 is one-to-one.
Find an equation for f^-1(x), the inverse function
(answered by josgarithmetic)
3.16
The function f(x)=3x+2 is one-to-one
Find an equation for f^-1(x), the inverse (answered by rothauserc)
The function f(x)=x+19 is one-to-one.
Find an equation for f^-1(x), the inverse... (answered by Alan3354,greenestamps)
the function f(x) = 8x+9/x-2 is one to one.
find an equation for f^-1(x), the inverse... (answered by rothauserc)
Given the one-to-one function f(x) = x^{1/3} + 2, find the inverse... (answered by Fombitz)
Given the one-to-one function f(x) =(x-2)^3,find the inverse function (answered by jim_thompson5910)
Write an equation for the inverse of the given one-to-one function.
f(x) =... (answered by josgarithmetic)
the function f is one to one. Find its inverse... (answered by stanbon,katealdridge)